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5154315768 = 23367126257
BaseRepresentation
bin1001100110011100…
…01001110111111000
3111022012202101000000
410303032021313320
541024001101033
62211242513000
7241504650450
oct46316116770
914265671000
105154315768
1122055277a8
12bba205760
13641b0bcb4
1436c790d60
15202789a13
hex133389df8

5154315768 has 112 divisors (see below), whose sum is σ = 16559999280. Its totient is φ = 1472649984.

The previous prime is 5154315767. The next prime is 5154315769. The reversal of 5154315768 is 8675134515.

5154315768 is a `hidden beast` number, since 51 + 543 + 1 + 57 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5154315767) and next prime (5154315769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154315767) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22305 + ... + 103952.

Almost surely, 25154315768 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 5154315768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279999640).

5154315768 is an abundant number, since it is smaller than the sum of its proper divisors (11405683512).

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

5154315768 is a wasteful number, since it uses less digits than its factorization.

5154315768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126288 (or 126269 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 5154315768 is about 71793.5635555166. The cubic root of 5154315768 is about 1727.3897584775.

The spelling of 5154315768 in words is "five billion, one hundred fifty-four million, three hundred fifteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 40824 126257 252514 378771 505028 757542 883799 1010056 1136313 1515084 1767598 2272626 2651397 3030168 3408939 3535196 4545252 5302794 6817878 7070392 7954191 9090504 10226817 10605588 13635756 15908382 20453634 21211176 23862573 27271512 30680451 31816764 40907268 47725146 61360902 63633528 71587719 81814536 92041353 95450292 122721804 143175438 184082706 190900584 214763157 245443608 286350876 368165412 429526314 572701752 644289471 736330824 859052628 1288578942 1718105256 2577157884 5154315768