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166006656 = 2732144103
BaseRepresentation
bin10011110010100…
…00111110000000
3102120101000022200
421321100332000
5314444203111
624250033200
74054014264
oct1171207600
9376330280
10166006656
1185785292
1247718800
13285147ba
14180940a4
15e892256
hex9e50f80

166006656 has 48 divisors (see below), whose sum is σ = 477704760. Its totient is φ = 55335168.

The previous prime is 166006639. The next prime is 166006661. The reversal of 166006656 is 656600661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166006656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70900 + ... + 73203.

Almost surely, 2166006656 is an apocalyptic number.

166006656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166006656 is an abundant number, since it is smaller than the sum of its proper divisors (311698104).

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

166006656 is a wasteful number, since it uses less digits than its factorization.

166006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144123 (or 144108 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166006656 is about 12884.3570270309. The cubic root of 166006656 is about 549.5938113883.

The spelling of 166006656 in words is "one hundred sixty-six million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 144103 288206 432309 576412 864618 1152824 1296927 1729236 2305648 2593854 3458472 4611296 5187708 6916944 9222592 10375416 13833888 18445184 20750832 27667776 41501664 55335552 83003328 166006656