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165132670600 = 2352825663353
BaseRepresentation
bin1001100111001010101…
…1001001011010001000
3120210020101020211102001
42121302223021122020
510201142430424400
6203505542120344
714634066353302
oct2316253113210
9523211224361
10165132670600
116403a0a6597
12280067200b4
131275873a711
147dc746c972
15446739da6a
hex2672ac9688

165132670600 has 24 divisors (see below), whose sum is σ = 383933459610. Its totient is φ = 66053068160.

The previous prime is 165132670589. The next prime is 165132670601. The reversal of 165132670600 is 6076231561.

It can be written as a sum of positive squares in 3 ways, for example, as 94781473956 + 70351196644 = 307866^2 + 265238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165132670600.

It is not an unprimeable number, because it can be changed into a prime (165132670601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412831477 + ... + 412831876.

Almost surely, 2165132670600 is an apocalyptic number.

165132670600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165132670600 is an abundant number, since it is smaller than the sum of its proper divisors (218800789010).

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

165132670600 is a wasteful number, since it uses less digits than its factorization.

165132670600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825663369 (or 825663360 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 165132670600 in words is "one hundred sixty-five billion, one hundred thirty-two million, six hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 825663353 1651326706 3302653412 4128316765 6605306824 8256633530 16513267060 20641583825 33026534120 41283167650 82566335300 165132670600