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10885791312 = 24331137101613
BaseRepresentation
bin10100010001101011…
…11111111001010000
31001002122112111101000
422020311333321100
5134243230310222
65000104142000
7533521461624
oct121065777120
931078474330
1010885791312
114686822150
122139767900
13104637a746
14753a61184
1543aa2e9ac
hex288d7fe50

10885791312 has 320 divisors, whose sum is σ = 35412376320. Its totient is φ = 3172608000.

The previous prime is 10885791311. The next prime is 10885791337. The reversal of 10885791312 is 21319758801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10885791311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17757918 + ... + 17758530.

It is an arithmetic number, because the mean of its divisors is an integer number (110663676).

Almost surely, 210885791312 is an apocalyptic number.

10885791312 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 10885791312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706188160).

10885791312 is an abundant number, since it is smaller than the sum of its proper divisors (24526585008).

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

10885791312 is a wasteful number, since it uses less digits than its factorization.

10885791312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10885791312 in words is "ten billion, eight hundred eighty-five million, seven hundred ninety-one thousand, three hundred twelve".