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105254086432 = 2511793785029
BaseRepresentation
bin110001000000110100…
…0011110011100100000
3101001200100010120212111
41202001220132130200
53211030021231212
6120204132205104
710414202654515
oct1420150363440
9331610116774
10105254086432
1140702207aa0
1218495469794
139c051b1a21
145146b8330c
152b10630ea7
hex1881a1e720

105254086432 has 48 divisors (see below), whose sum is σ = 228918614400. Its totient is φ = 47237149440.

The previous prime is 105254086417. The next prime is 105254086507. The reversal of 105254086432 is 234680452501.

It is a super-2 number, since 2×1052540864322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864707 + ... + 1920322.

It is an arithmetic number, because the mean of its divisors is an integer number (4769137800).

Almost surely, 2105254086432 is an apocalyptic number.

It is an amenable number.

105254086432 is an abundant number, since it is smaller than the sum of its proper divisors (123664527968).

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

105254086432 is a wasteful number, since it uses less digits than its factorization.

105254086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785129 (or 3785121 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 105254086432 in words is "one hundred five billion, two hundred fifty-four million, eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 13904 27808 3785029 7570058 15140116 30280232 41635319 60560464 83270638 121120928 166541276 299017291 333082552 598034582 666165104 1196069164 1332330208 2392138328 3289190201 4784276656 6578380402 9568553312 13156760804 26313521608 52627043216 105254086432