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10836831984 = 243112353113149
BaseRepresentation
bin10100001011110110…
…01110111011110000
31000222020102002210120
422011323032323300
5134143212110414
64551154530240
7532355360226
oct120573167360
930866362716
1010836831984
1146611222a0
122125296980
131039197c24
1474b358b16
154365ad2a9
hex285eceef0

10836831984 has 320 divisors, whose sum is σ = 32976460800. Its totient is φ = 3034071040.

The previous prime is 10836831979. The next prime is 10836832033. The reversal of 10836831984 is 48913863801.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 72730342 + ... + 72730490.

It is an arithmetic number, because the mean of its divisors is an integer number (103051440).

Almost surely, 210836831984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10836831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488230400).

10836831984 is an abundant number, since it is smaller than the sum of its proper divisors (22139628816).

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

10836831984 is a wasteful number, since it uses less digits than its factorization.

10836831984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10836831984 in words is "ten billion, eight hundred thirty-six million, eight hundred thirty-one thousand, nine hundred eighty-four".