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104966107992744 = 233106938201107099
BaseRepresentation
bin10111110111011101010011…
…100101001001001010101000
3111202122122212112122022001220
4113313131103211021022220
5102224231042121231434
61011124433031542040
731052360002453545
oct2767352345111250
9452578775568056
10104966107992744
1130499970556a89
12b93317522a920
13467535270523b
141bcc55b2abbcc
15c20621874d49
hex5f77539492a8

104966107992744 has 64 divisors (see below), whose sum is σ = 262670075640000. Its totient is φ = 34954730918400.

The previous prime is 104966107992731. The next prime is 104966107992763. The reversal of 104966107992744 is 447299701669401.

It is a super-2 number, since 2×1049661079927442 (a number of 29 digits) contains 22 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, 980031307 + ... + 980138405.

It is an arithmetic number, because the mean of its divisors is an integer number (4104219931875).

Almost surely, 2104966107992744 is an apocalyptic number.

It is an amenable number.

104966107992744 is an abundant number, since it is smaller than the sum of its proper divisors (157703967647256).

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

104966107992744 is a wasteful number, since it uses less digits than its factorization.

104966107992744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146378 (or 146374 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 104966107992744 in words is "one hundred four trillion, nine hundred sixty-six billion, one hundred seven million, nine hundred ninety-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1069 2138 3207 4276 6414 8552 12828 25656 38201 76402 107099 114603 152804 214198 229206 305608 321297 428396 458412 642594 856792 916824 1285188 2570376 40836869 81673738 114488831 122510607 163347476 228977662 245021214 326694952 343466493 457955324 490042428 686932986 915910648 980084856 1373865972 2747731944 4091288899 8182577798 12273866697 16365155596 24547733394 32730311192 49095466788 98190933576 4373587833031 8747175666062 13120763499093 17494351332124 26241526998186 34988702664248 52483053996372 104966107992744