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166170956 = 22727111941
BaseRepresentation
bin10011110011110…
…01000101001100
3102120200100200212
421321321011030
5320014432311
624253341552
74055300300
oct1171710514
9376610625
10166170956
1185887776
12477978b8
1328571513
14180d7d00
15e8c5c8b
hex9e7914c

166170956 has 36 divisors (see below), whose sum is σ = 343069776. Its totient is φ = 70207200.

The previous prime is 166170931. The next prime is 166170997. The reversal of 166170956 is 659071661.

166170956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1661709562 = 55225573235907872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7946 + ... + 19886.

It is an arithmetic number, because the mean of its divisors is an integer number (9529716).

Almost surely, 2166170956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166170956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171534888).

166170956 is an abundant number, since it is smaller than the sum of its proper divisors (176898820).

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

166170956 is a wasteful number, since it uses less digits than its factorization.

166170956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 166170956 is about 12890.7313989548. The cubic root of 166170956 is about 549.7750661479.

The spelling of 166170956 in words is "one hundred sixty-six million, one hundred seventy thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 3479 6958 11941 13916 23882 47764 83587 167174 334348 585109 847811 1170218 1695622 2340436 3391244 5934677 11869354 23738708 41542739 83085478 166170956