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105068749720788 = 22337169382090861
BaseRepresentation
bin10111111000111100111001…
…100000010000110011010100
3111210000110210211011022221000
4113320330321200100303110
5102232421244412031123
61011243530044223300
731062652364656230
oct2770747140206324
9453013724138830
10105068749720788
11305294520984a7
12b94b03b83ab30
134681c2c607b69
141bd34d71135c0
15c2312c983b43
hex5f8f39810cd4

105068749720788 has 96 divisors (see below), whose sum is σ = 311498701310720. Its totient is φ = 30001910785920.

The previous prime is 105068749720681. The next prime is 105068749720849. The reversal of 105068749720788 is 887027947860501.

105068749720788 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 68 + 7 + 497 + 2 + 0 + 78 + 8 = 666.

It is a super-2 number, since 2×1050687497207882 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39765523 + ... + 42325338.

Almost surely, 2105068749720788 is an apocalyptic number.

105068749720788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105068749720788 is an abundant number, since it is smaller than the sum of its proper divisors (206429951589932).

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

105068749720788 is a wasteful number, since it uses less digits than its factorization.

105068749720788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82092574 (or 82092566 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 105068749720788 in words is "one hundred five trillion, sixty-eight billion, seven hundred forty-nine million, seven hundred twenty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1693 3386 5079 6772 10158 11851 15237 20316 23702 30474 35553 45711 47404 60948 71106 91422 106659 142212 182844 213318 319977 426636 639954 1279908 82090861 164181722 246272583 328363444 492545166 574636027 738817749 985090332 1149272054 1477635498 1723908081 2216453247 2298544108 2955270996 3447816162 4432906494 5171724243 6895632324 8865812988 10343448486 15515172729 20686896972 31030345458 62060690916 138979827673 277959655346 416939483019 555919310692 833878966038 972858793711 1250818449057 1667757932076 1945717587422 2501636898114 2918576381133 3752455347171 3891435174844 5003273796228 5837152762266 7504910694342 8755729143399 11674305524532 15009821388684 17511458286798 26267187430197 35022916573596 52534374860394 105068749720788