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252308105904 = 24323359363607
BaseRepresentation
bin1110101011111010111…
…1000010101010110000
3220010020210012210012010
43222332233002222300
513113211333342104
6311524142202520
724141300341331
oct3527657025260
9803223183163
10252308105904
1198004391398
1240a95583440
131aa3c31172a
14c2d7190288
15686a78c489
hex3abebc2ab0

252308105904 has 80 divisors (see below), whose sum is σ = 680334884352. Its totient is φ = 80422408704.

The previous prime is 252308105897. The next prime is 252308105939. The reversal of 252308105904 is 409501803252.

It is a super-3 number, since 3×2523081059043 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934869 + ... + 3998475.

Almost surely, 2252308105904 is an apocalyptic number.

252308105904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252308105904 is an abundant number, since it is smaller than the sum of its proper divisors (428026778448).

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

252308105904 is a wasteful number, since it uses less digits than its factorization.

252308105904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67234 (or 67228 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 252308105904 in words is "two hundred fifty-two billion, three hundred eight million, one hundred five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 3593 7186 10779 14372 21558 28744 43116 57488 63607 82639 86232 127214 165278 172464 190821 247917 254428 330556 381642 495834 508856 661112 763284 991668 1017712 1322224 1462961 1526568 1983336 2925922 3053136 3966672 4388883 5851844 8777766 11703688 17555532 23407376 35111064 70222128 228539951 457079902 685619853 914159804 1371239706 1828319608 2742479412 3656639216 5256418873 5484958824 10512837746 10969917648 15769256619 21025675492 31538513238 42051350984 63077026476 84102701968 126154052952 252308105904