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106926129156 = 223711115720919
BaseRepresentation
bin110001110010101001…
…0110100000000000100
3101012222212101011021210
41203211102310000010
53222441042113111
6121042102011420
710503505046610
oct1434522640004
9335885334253
10106926129156
1141390015490
1218881416b70
13a110720012
145264c6c340
152bac3110a6
hex18e54b4004

106926129156 has 48 divisors (see below), whose sum is σ = 311057832960. Its totient is φ = 27773020320.

The previous prime is 106926129131. The next prime is 106926129161. The reversal of 106926129156 is 651921629601.

It is a super-2 number, since 2×1069261291562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57859536 + ... + 57861383.

It is an arithmetic number, because the mean of its divisors is an integer number (6480371520).

Almost surely, 2106926129156 is an apocalyptic number.

It is an amenable number.

106926129156 is an abundant number, since it is smaller than the sum of its proper divisors (204131703804).

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

106926129156 is a wasteful number, since it uses less digits than its factorization.

106926129156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115720944 (or 115720942 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 106926129156 in words is "one hundred six billion, nine hundred twenty-six million, one hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 115720919 231441838 347162757 462883676 694325514 810046433 1272930109 1388651028 1620092866 2430139299 2545860218 3240185732 3818790327 4860278598 5091720436 7637580654 8910510763 9720557196 15275161308 17821021526 26731532289 35642043052 53463064578 106926129156