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166316472 = 23327329993
BaseRepresentation
bin10011110100111…
…00100110111000
3102120221202022100
421322130212320
5320034111342
624300423400
74056444450
oct1172344670
9376852270
10166316472
1185977033
1247847b60
13285c281a
1418134d60
15e903e4c
hex9e9c9b8

166316472 has 48 divisors (see below), whose sum is σ = 514790640. Its totient is φ = 47518848.

The previous prime is 166316453. The next prime is 166316477. The reversal of 166316472 is 274613661.

It is a happy number.

166316472 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 1 + 647 + 2 = 666.

It is a super-2 number, since 2×1663164722 = 55322337717053568, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166316477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164493 + ... + 165500.

It is an arithmetic number, because the mean of its divisors is an integer number (10724805).

Almost surely, 2166316472 is an apocalyptic number.

166316472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166316472 is an abundant number, since it is smaller than the sum of its proper divisors (348474168).

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

166316472 is a wasteful number, since it uses less digits than its factorization.

166316472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330012 (or 330005 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166316472 is about 12896.3743742185. The cubic root of 166316472 is about 549.9354987720.

The spelling of 166316472 in words is "one hundred sixty-six million, three hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 329993 659986 989979 1319972 1979958 2309951 2639944 2969937 3959916 4619902 5939874 6929853 7919832 9239804 11879748 13859706 18479608 20789559 23759496 27719412 41579118 55438824 83158236 166316472