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10054831920 = 2435719259281
BaseRepresentation
bin10010101110101000…
…01000111100110000
3221221201221101101020
421113110020330300
5131043014110140
64341421535440
7504111442530
oct112724107460
927851841336
1010054831920
11429a766051
121b47414580
13c43177cb3
146b55574c0
153dcade6d0
hex257508f30

10054831920 has 480 divisors, whose sum is σ = 38369687040. Its totient is φ = 2132766720.

The previous prime is 10054831907. The next prime is 10054831931. The reversal of 10054831920 is 2913845001.

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, 35782180 + ... + 35782460.

It is an arithmetic number, because the mean of its divisors is an integer number (79936848).

Almost surely, 210054831920 is an apocalyptic number.

10054831920 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 10054831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184843520).

10054831920 is an abundant number, since it is smaller than the sum of its proper divisors (28314855120).

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

10054831920 is a wasteful number, since it uses less digits than its factorization.

10054831920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10054831920 in words is "ten billion, fifty-four million, eight hundred thirty-one thousand, nine hundred twenty".