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10006923008 = 28315232411
BaseRepresentation
bin10010101000111010…
…11000011100000000
3221211101210100201002
421110131120130000
5130443233014013
64332551031132
7502660304435
oct112435303400
927741710632
1010006923008
114275713405
121b3336b4a8
13c36272624
146ad045b8c
153d87c9358
hex254758700

10006923008 has 72 divisors (see below), whose sum is σ = 20667096576. Its totient is φ = 4830796800.

The previous prime is 10006922941. The next prime is 10006923011. The reversal of 10006923008 is 80032960001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4149323 + ... + 4151733.

It is an arithmetic number, because the mean of its divisors is an integer number (287043008).

Almost surely, 210006923008 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 10006923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333548288).

10006923008 is an abundant number, since it is smaller than the sum of its proper divisors (10660173568).

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

10006923008 is an equidigital number, since it uses as much as digits as its factorization.

10006923008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10006923008 in words is "ten billion, six million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 523 992 1046 1984 2092 2411 3968 4184 4822 7936 8368 9644 16213 16736 19288 32426 33472 38576 64852 66944 74741 77152 129704 133888 149482 154304 259408 298964 308608 518816 597928 617216 1037632 1195856 1260953 2075264 2391712 2521906 4150528 4783424 5043812 9566848 10087624 19133696 20175248 39089543 40350496 78179086 80700992 156358172 161401984 312716344 322803968 625432688 1250865376 2501730752 5003461504 10006923008