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165136919112 = 2332113767241349
BaseRepresentation
bin1001100111001011101…
…1010110101001001000
3120210020200020200021100
42121302323112221020
510201200022402422
6203510213141400
714634150436524
oct2316273265110
9523220220240
10165136919112
1164041538560
122800802a860
1312759597429
147dc7c56d84
15446793c7ac
hex2672ed6a48

165136919112 has 384 divisors, whose sum is σ = 512143632000. Its totient is φ = 47626444800.

The previous prime is 165136919107. The next prime is 165136919119. The reversal of 165136919112 is 211919631561.

165136919112 is a `hidden beast` number, since 1 + 6 + 513 + 6 + 9 + 19 + 112 = 666.

165136919112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165136919119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 473171514 + ... + 473171862.

It is an arithmetic number, because the mean of its divisors is an integer number (1333707375).

Almost surely, 2165136919112 is an apocalyptic number.

165136919112 is a gapful number since it is divisible by the number (12) 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 165136919112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256071816000).

165136919112 is an abundant number, since it is smaller than the sum of its proper divisors (347006712888).

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

165136919112 is a wasteful number, since it uses less digits than its factorization.

165136919112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The spelling of 165136919112 in words is "one hundred sixty-five billion, one hundred thirty-six million, nine hundred nineteen thousand, one hundred twelve".