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5113315116 = 223271313711393
BaseRepresentation
bin1001100001100011…
…01111111100101100
3111012100121022200100
410300301233330230
540433002040431
62203220031100
7240466314150
oct46061577454
914170538610
105113315116
112194373368
12ba8532490
13636484b60
1436715b060
151edd8b4e6
hex130c6ff2c

5113315116 has 144 divisors (see below), whose sum is σ = 16025615424. Its totient is φ = 1338605568.

The previous prime is 5113315111. The next prime is 5113315117. The reversal of 5113315116 is 6115133115.

It is a happy number.

5113315116 is a `hidden beast` number, since 5 + 113 + 31 + 511 + 6 = 666.

It is a super-4 number, since 4×51133151164 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5113315116.

It is not an unprimeable number, because it can be changed into a prime (5113315111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443116 + ... + 454508.

It is an arithmetic number, because the mean of its divisors is an integer number (111288996).

Almost surely, 25113315116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5113315116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012807712).

5113315116 is an abundant number, since it is smaller than the sum of its proper divisors (10912300308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5113315116 is a wasteful number, since it uses less digits than its factorization.

5113315116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11555 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 5113315116 is about 71507.4479757179. The cubic root of 5113315116 is about 1722.7973135593.

The spelling of 5113315116 in words is "five billion, one hundred thirteen million, three hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 137 156 182 234 252 273 274 364 411 468 546 548 819 822 959 1092 1233 1638 1644 1781 1918 2466 2877 3276 3562 3836 4932 5343 5754 7124 8631 10686 11393 11508 12467 16029 17262 21372 22786 24934 32058 34179 34524 37401 45572 49868 64116 68358 74802 79751 102537 112203 136716 148109 149604 159502 205074 224406 239253 296218 319004 410148 444327 448812 478506 592436 717759 888654 957012 1036763 1332981 1435518 1560841 1777308 2073526 2665962 2871036 3110289 3121682 4147052 4682523 5331924 6220578 6243364 9330867 9365046 10925887 12441156 14047569 18661734 18730092 20290933 21851774 28095138 32777661 37323468 40581866 43703548 56190276 60872799 65555322 81163732 98332983 121745598 131110644 142036531 182618397 196665966 243491196 284073062 365236794 393331932 426109593 568146124 730473588 852219186 1278328779 1704438372 2556657558 5113315116