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106674085168 = 2472933250673
BaseRepresentation
bin110001101011001000…
…1010101110100110000
3101012100022002222221021
41203112101111310300
53221432031211133
6121001055505224
710464324522520
oct1432621256460
9335308088837
10106674085168
1141270816072
1218810b28214
13a0a0443171
14523d5bd680
152b9512652d
hex18d6455d30

106674085168 has 40 divisors (see below), whose sum is σ = 237013142688. Its totient is φ = 45561418752.

The previous prime is 106674085153. The next prime is 106674085181. The reversal of 106674085168 is 861580476601.

It is a super-2 number, since 2×1066740851682 (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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592521 + ... + 1658152.

Almost surely, 2106674085168 is an apocalyptic number.

It is an amenable number.

106674085168 is an abundant number, since it is smaller than the sum of its proper divisors (130339057520).

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

106674085168 is a wasteful number, since it uses less digits than its factorization.

106674085168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250981 (or 3250975 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 106674085168 in words is "one hundred six billion, six hundred seventy-four million, eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 293 586 1172 2051 2344 4102 4688 8204 16408 32816 3250673 6501346 13002692 22754711 26005384 45509422 52010768 91018844 182037688 364075376 952447189 1904894378 3809788756 6667130323 7619577512 13334260646 15239155024 26668521292 53337042584 106674085168