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166172672 = 211411979
BaseRepresentation
bin10011110011110…
…01100000000000
3102120200110001102
421321321200000
5320020011142
624253353532
74055305301
oct1171714000
9376613042
10166172672
1185888a96
12477988a8
1328572233
14180d87a8
15e8c6532
hex9e79800

166172672 has 48 divisors (see below), whose sum is σ = 340540200. Its totient is φ = 81018880.

The previous prime is 166172627. The next prime is 166172711. The reversal of 166172672 is 276271661.

It is a super-2 number, since 2×1661726722 = 55226713839239168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82979 + ... + 84957.

Almost surely, 2166172672 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 166172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170270100).

166172672 is an abundant number, since it is smaller than the sum of its proper divisors (174367528).

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

166172672 is an equidigital number, since it uses as much as digits as its factorization.

166172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2022 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 166172672 is about 12890.7979582336. The cubic root of 166172672 is about 549.7769585981.

The spelling of 166172672 in words is "one hundred sixty-six million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1979 2048 2624 3958 5248 7916 10496 15832 20992 31664 41984 63328 81139 83968 126656 162278 253312 324556 506624 649112 1013248 1298224 2026496 2596448 4052992 5192896 10385792 20771584 41543168 83086336 166172672