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166150656 = 2933717101
BaseRepresentation
bin10011110011101…
…00001000000000
3102120122022212000
421321310020000
5320013310111
624253104000
74055154150
oct1171641000
9376568760
10166150656
11858734a1
1247788000
13285651c9
14180d0760
15e8bec56
hex9e74200

166150656 has 320 divisors, whose sum is σ = 601032960. Its totient is φ = 44236800.

The previous prime is 166150651. The next prime is 166150681. The reversal of 166150656 is 656051661.

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 166150656.

It is not an unprimeable number, because it can be changed into a prime (166150651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645006 + ... + 1645106.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2166150656 is an apocalyptic number.

166150656 is a gapful number since it is divisible by the number (16) 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 166150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

166150656 is an abundant number, since it is smaller than the sum of its proper divisors (434882304).

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

166150656 is a wasteful number, since it uses less digits than its factorization.

166150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166150656 is about 12889.9439874656. The cubic root of 166150656 is about 549.7526777823.

The spelling of 166150656 in words is "one hundred sixty-six million, one hundred fifty thousand, six hundred fifty-six".