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165064464 = 24321146281
BaseRepresentation
bin10011101011010…
…10111100010000
3102111121010212200
421311222330100
5314224030324
624213523200
74043011335
oct1165527420
9374533780
10165064464
11851a1414
1247343500
13282749a6
1417cca98c
15e757ec9
hex9d6af10

165064464 has 30 divisors (see below), whose sum is σ = 461951646. Its totient is φ = 55021440.

The previous prime is 165064463. The next prime is 165064469. The reversal of 165064464 is 464460561.

165064464 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 644 + 6 + 4 = 666.

165064464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 131331600 + 33732864 = 11460^2 + 5808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165064463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 572997 + ... + 573284.

Almost surely, 2165064464 is an apocalyptic number.

It is an amenable number.

165064464 is an abundant number, since it is smaller than the sum of its proper divisors (296887182).

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

165064464 is a wasteful number, since it uses less digits than its factorization.

165064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146295 (or 1146286 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 165064464 is about 12847.7415914238. The cubic root of 165064464 is about 548.5520747450.

The spelling of 165064464 in words is "one hundred sixty-five million, sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1146281 2292562 3438843 4585124 6877686 9170248 10316529 13755372 18340496 20633058 27510744 41266116 55021488 82532232 165064464