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10916379936 = 2533721122131
BaseRepresentation
bin10100010101010101…
…01011110100100000
31001011210002120002000
422022222223310200
5134324043124221
65003115524000
7534342461400
oct121252536440
931153076060
1010916379936
1146a2014900
122147a59600
13104c7ca617
14757b44800
1543d572e26
hex28aaabd20

10916379936 has 432 divisors, whose sum is σ = 40729983840. Its totient is φ = 2834092800.

The previous prime is 10916379931. The next prime is 10916379937. The reversal of 10916379936 is 63997361901.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10916379931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5121591 + ... + 5123721.

It is an arithmetic number, because the mean of its divisors is an integer number (94282370).

Almost surely, 210916379936 is an apocalyptic number.

10916379936 is a gapful number since it is divisible by the number (16) 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 10916379936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364991920).

10916379936 is an abundant number, since it is smaller than the sum of its proper divisors (29813603904).

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

10916379936 is a wasteful number, since it uses less digits than its factorization.

10916379936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 10916379936 in words is "ten billion, nine hundred sixteen million, three hundred seventy-nine thousand, nine hundred thirty-six".