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10156849920 = 2832571731239
BaseRepresentation
bin10010111010110010…
…10011101100000000
3222012211220102202200
421131121103230000
5131300123144140
64355504313200
7506460541230
oct113531235400
928184812680
1010156849920
114342305748
121b75612800
13c5b347189
146c4d11cc0
153e6a42030
hex25d653b00

10156849920 has 864 divisors, whose sum is σ = 44079759360. Its totient is φ = 2105671680.

The previous prime is 10156849897. The next prime is 10156849943. The reversal of 10156849920 is 2994865101.

10156849920 is a `hidden beast` number, since 1 + 0 + 156 + 8 + 499 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10156849897) and next prime (10156849943).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42497161 + ... + 42497399.

It is an arithmetic number, because the mean of its divisors is an integer number (51018240).

Almost surely, 210156849920 is an apocalyptic number.

10156849920 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 10156849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039879680).

10156849920 is an abundant number, since it is smaller than the sum of its proper divisors (33922909440).

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

10156849920 is a wasteful number, since it uses less digits than its factorization.

10156849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10156849920 in words is "ten billion, one hundred fifty-six million, eight hundred forty-nine thousand, nine hundred twenty".