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10290160944 = 243472939113
BaseRepresentation
bin10011001010101011…
…10110010100110000
3222120010202100010000
421211111312110300
5132033240122234
64421025510000
7512666632140
oct114525662460
928503670100
1010290160944
114400589248
121bb21a2300
13c7cb51a3b
146d88d4920
154035c6899
hex265576530

10290160944 has 200 divisors, whose sum is σ = 35211987360. Its totient is φ = 2838592512.

The previous prime is 10290160939. The next prime is 10290161027. The reversal of 10290160944 is 44906109201.

It is a happy number.

10290160944 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 1 + 609 + 44 = 666.

It is a super-2 number, since 2×102901609442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10290160899 and 10290160908.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243532 + ... + 282644.

Almost surely, 210290160944 is an apocalyptic number.

10290160944 is a gapful number since it is divisible by the number (14) 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 10290160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17605993680).

10290160944 is an abundant number, since it is smaller than the sum of its proper divisors (24921826416).

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

10290160944 is a wasteful number, since it uses less digits than its factorization.

10290160944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39169 (or 39154 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10290160944 in words is "ten billion, two hundred ninety million, one hundred sixty thousand, nine hundred forty-four".