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10292316160 = 211571391033
BaseRepresentation
bin10011001010111100…
…00100100000000000
3222120021210211111211
421211132010200000
5132034313104120
64421144015504
7513024146440
oct114536044000
928507724454
1010292316160
114401820515
121bb2a61594
13c80427a09
146d8cd6120
154038a025a
hex265784800

10292316160 has 192 divisors, whose sum is σ = 28454025600. Its totient is φ = 3500015616.

The previous prime is 10292316119. The next prime is 10292316179. The reversal of 10292316160 is 6161329201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9963004 + ... + 9964036.

It is an arithmetic number, because the mean of its divisors is an integer number (148198050).

Almost surely, 210292316160 is an apocalyptic number.

10292316160 is a gapful number since it is divisible by the number (10) 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 10292316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227012800).

10292316160 is an abundant number, since it is smaller than the sum of its proper divisors (18161709440).

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

10292316160 is a wasteful number, since it uses less digits than its factorization.

10292316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 10292316160 in words is "ten billion, two hundred ninety-two million, three hundred sixteen thousand, one hundred sixty".