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5805970128 = 2432713742043
BaseRepresentation
bin1010110100001000…
…00001001011010000
3112222121221211201200
411122010001023100
543342312021003
62400042031200
7263606634420
oct53204011320
915877854650
105805970128
11250a356322
1211604a8500
13716b21caa
143d1142480
1523eaac6a3
hex15a1012d0

5805970128 has 120 divisors (see below), whose sum is σ = 18705880128. Its totient is φ = 1646701056.

The previous prime is 5805970103. The next prime is 5805970139. The reversal of 5805970128 is 8210795085.

It is a happy number.

5805970128 is a `hidden beast` number, since 58 + 0 + 597 + 0 + 1 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117075 + ... + 159117.

Almost surely, 25805970128 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 5805970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352940064).

5805970128 is an abundant number, since it is smaller than the sum of its proper divisors (12899910000).

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

5805970128 is a wasteful number, since it uses less digits than its factorization.

5805970128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42201 (or 42192 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5805970128 is about 76196.9167880171. The cubic root of 5805970128 is about 1797.3180355402.

The spelling of 5805970128 in words is "five billion, eight hundred five million, nine hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 168 252 274 336 411 504 548 822 959 1008 1096 1233 1644 1918 2192 2466 2877 3288 3836 4932 5754 6576 7672 8631 9864 11508 15344 17262 19728 23016 34524 42043 46032 69048 84086 126129 138096 168172 252258 294301 336344 378387 504516 588602 672688 756774 882903 1009032 1177204 1513548 1765806 2018064 2354408 2648709 3027096 3531612 4708816 5297418 5759891 6054192 7063224 10594836 11519782 14126448 17279673 21189672 23039564 34559346 40319237 42379344 46079128 51839019 69118692 80638474 92158256 103678038 120957711 138237384 161276948 207356076 241915422 276474768 322553896 362873133 414712152 483830844 645107792 725746266 829424304 967661688 1451492532 1935323376 2902985064 5805970128