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166104612 = 223219415923
BaseRepresentation
bin10011110011010…
…00111000100100
3102120112222200200
421321220320210
5320010321422
624252110500
74054603002
oct1171507044
9376488620
10166104612
1185841943
1247765430
132854a26b
14180bba72
15e8b12ac
hex9e68e24

166104612 has 72 divisors (see below), whose sum is σ = 452830560. Its totient is φ = 51166080.

The previous prime is 166104599. The next prime is 166104613. The reversal of 166104612 is 216401661.

166104612 is a `hidden beast` number, since 1 + 6 + 610 + 46 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (166104613) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25083 + ... + 31005.

Almost surely, 2166104612 is an apocalyptic number.

166104612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166104612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226415280).

166104612 is an abundant number, since it is smaller than the sum of its proper divisors (286725948).

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

166104612 is a wasteful number, since it uses less digits than its factorization.

166104612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166104612 is about 12888.1578202628. The cubic root of 166104612 is about 549.7018902390.

The spelling of 166104612 in words is "one hundred sixty-six million, one hundred four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 3116 4674 5923 7011 9348 11846 14022 17769 23692 28044 35538 53307 71076 106614 112537 213228 225074 242843 337611 450148 485686 675222 728529 971372 1012833 1350444 1457058 2025666 2185587 2914116 4051332 4371174 4614017 8742348 9228034 13842051 18456068 27684102 41526153 55368204 83052306 166104612