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106536302656 = 2671912516013
BaseRepresentation
bin110001100111000001…
…1101111100001000000
3101011222200211220212021
41203032003233201000
53221141243141111
6120535254411224
710461032426320
oct1431603574100
9334880756767
10106536302656
11411aaa69023
1218792960b14
13a07aa31254
145229195280
152b87eabd71
hex18ce0ef840

106536302656 has 56 divisors (see below), whose sum is σ = 254325404480. Its totient is φ = 43255337472.

The previous prime is 106536302629. The next prime is 106536302681. The reversal of 106536302656 is 656203635601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1065363026562 (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, 6249495 + ... + 6266518.

It is an arithmetic number, because the mean of its divisors is an integer number (4541525080).

Almost surely, 2106536302656 is an apocalyptic number.

106536302656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106536302656 is an abundant number, since it is smaller than the sum of its proper divisors (147789101824).

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

106536302656 is a wasteful number, since it uses less digits than its factorization.

106536302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516051 (or 12516041 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 106536302656 in words is "one hundred six billion, five hundred thirty-six million, three hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 12516013 25032026 50064052 87612091 100128104 175224182 200256208 237804247 350448364 400512416 475608494 700896728 801024832 951216988 1401793456 1664629729 1902433976 2803586912 3329259458 3804867952 5607173824 6658518916 7609735904 13317037832 15219471808 26634075664 53268151328 106536302656