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10162099008 = 2632128313751
BaseRepresentation
bin10010111011011010…
…10101001101000000
3222020012210010011100
421131231111031000
5131302444132013
64400213014400
7506553262545
oct113555251500
928205703140
1010162099008
114345270436
121b77324400
13c5c464449
146c58babcc
153e722c473
hex25db55340

10162099008 has 84 divisors (see below), whose sum is σ = 29152644768. Its totient is φ = 3384480000.

The previous prime is 10162098997. The next prime is 10162099021. The reversal of 10162099008 is 80099026101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732133 + ... + 745883.

Almost surely, 210162099008 is an apocalyptic number.

10162099008 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 10162099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576322384).

10162099008 is an abundant number, since it is smaller than the sum of its proper divisors (18990545760).

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

10162099008 is a wasteful number, since it uses less digits than its factorization.

10162099008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10162099008 in words is "ten billion, one hundred sixty-two million, ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1283 2566 3849 5132 7698 10264 11547 13751 15396 20528 23094 27502 30792 41056 41253 46188 55004 61584 82112 82506 92376 110008 123168 123759 165012 184752 220016 246336 247518 330024 369504 440032 495036 660048 739008 880064 990072 1320096 1980144 2640192 3960288 7920576 17642533 35285066 52927599 70570132 105855198 141140264 158782797 211710396 282280528 317565594 423420792 564561056 635131188 846841584 1129122112 1270262376 1693683168 2540524752 3387366336 5081049504 10162099008