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107737734040056 = 2334353814699187
BaseRepresentation
bin11000011111110010100101…
…010111011100100111111000
3112010110121220221000202020000
4120133302211113130213320
5103110133334403240211
61021050010505033000
731456536325241541
oct3037624527344770
9463417827022200
10107737734040056
113136835316a98a
1210100365185760
1348168176a6753
141c867699cd4c8
15c6c78bb62656
hex61fca55dc9f8

107737734040056 has 80 divisors (see below), whose sum is σ = 301774005716040. Its totient is φ = 35911555346880.

The previous prime is 107737734039983. The next prime is 107737734040063. The reversal of 107737734040056 is 650040437737701.

107737734040056 is a `hidden beast` number, since 10 + 7 + 73 + 7 + 73 + 40 + 400 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 107737734039984 and 107737734040011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20577295 + ... + 25276481.

Almost surely, 2107737734040056 is an apocalyptic number.

It is an amenable number.

107737734040056 is an abundant number, since it is smaller than the sum of its proper divisors (194036271675984).

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

107737734040056 is a wasteful number, since it uses less digits than its factorization.

107737734040056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734586 (or 4734573 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 107737734040056 in words is "one hundred seven trillion, seven hundred thirty-seven billion, seven hundred thirty-four million, forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 35381 70762 106143 141524 212286 283048 318429 424572 636858 849144 955287 1273716 1910574 2547432 2865861 3821148 4699187 5731722 7642296 9398374 11463444 14097561 18796748 22926888 28195122 37593496 42292683 56390244 84585366 112780488 126878049 169170732 253756098 338341464 380634147 507512196 761268294 1015024392 1522536588 3045073176 166261935247 332523870494 498785805741 665047740988 997571611482 1330095481976 1496357417223 1995143222964 2992714834446 3990286445928 4489072251669 5985429668892 8978144503338 11970859337784 13467216755007 17956289006676 26934433510014 35912578013352 53868867020028 107737734040056