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5902138656 = 253339717207
BaseRepresentation
bin1010111111100101…
…10111110100100000
3120020022220201011000
411133302313310200
544041421414111
62413355152000
7266155231221
oct53762676440
916208821130
105902138656
112559670147
121188745600
13730a2384b
143ddc17248
15248256c56
hex15fcb7d20

5902138656 has 96 divisors (see below), whose sum is σ = 17258935680. Its totient is φ = 1962309888.

The previous prime is 5902138643. The next prime is 5902138703. The reversal of 5902138656 is 6568312095.

5902138656 is a `hidden beast` number, since 590 + 2 + 1 + 3 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334405 + ... + 351611.

It is an arithmetic number, because the mean of its divisors is an integer number (179780580).

Almost surely, 25902138656 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 5902138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629467840).

5902138656 is an abundant number, since it is smaller than the sum of its proper divisors (11356797024).

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

5902138656 is a wasteful number, since it uses less digits than its factorization.

5902138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17623 (or 17609 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5902138656 is about 76825.3776821175. The cubic root of 5902138656 is about 1807.1871754212.

The spelling of 5902138656 in words is "five billion, nine hundred two million, one hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 397 432 794 864 1191 1588 2382 3176 3573 4764 6352 7146 9528 10719 12704 14292 17207 19056 21438 28584 34414 38112 42876 51621 57168 68828 85752 103242 114336 137656 154863 171504 206484 275312 309726 343008 412968 464589 550624 619452 825936 929178 1238904 1651872 1858356 2477808 3716712 4955616 6831179 7433424 13662358 14866848 20493537 27324716 40987074 54649432 61480611 81974148 109298864 122961222 163948296 184441833 218597728 245922444 327896592 368883666 491844888 655793184 737767332 983689776 1475534664 1967379552 2951069328 5902138656