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165892028328 = 233213476161819
BaseRepresentation
bin1001101001111111101…
…1110111011110101000
3120212012022010012101100
42122133323313132220
510204221324401303
6204113145521400
714661646655235
oct2323773673650
9525168105340
10165892028328
11643997a8264
1228198aa3260
1312849b60610
14805a25878c
1544add988a3
hex269fef77a8

165892028328 has 192 divisors, whose sum is σ = 502255353600. Its totient is φ = 49137891840.

The previous prime is 165892028303. The next prime is 165892028383. The reversal of 165892028328 is 823820298561.

It is a happy number.

165892028328 is a `hidden beast` number, since 1 + 6 + 589 + 2 + 0 + 28 + 32 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652603 + ... + 2714421.

It is an arithmetic number, because the mean of its divisors is an integer number (2615913300).

Almost surely, 2165892028328 is an apocalyptic number.

165892028328 is a gapful number since it is divisible by the number (18) 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 165892028328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251127676800).

165892028328 is an abundant number, since it is smaller than the sum of its proper divisors (336363325272).

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

165892028328 is a wasteful number, since it uses less digits than its factorization.

165892028328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61952 (or 61945 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 165892028328 in words is "one hundred sixty-five billion, eight hundred ninety-two million, twenty-eight thousand, three hundred twenty-eight".