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10381297920 = 28357467827
BaseRepresentation
bin10011010101100011…
…00000100100000000
3222210111020120112120
421222301200210000
5132230103013140
64434043124240
7515154401460
oct115261404400
928714216476
1010381297920
114447a76864
122018813680
13c959b1346
14706a59ba0
1540b5ca1d0
hex26ac60900

10381297920 has 288 divisors, whose sum is σ = 38018792448. Its totient is φ = 2364923904.

The previous prime is 10381297907. The next prime is 10381297961. The reversal of 10381297920 is 2979218301.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 12552547 + ... + 12553373.

It is an arithmetic number, because the mean of its divisors is an integer number (132009696).

Almost surely, 210381297920 is an apocalyptic number.

10381297920 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 10381297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009396224).

10381297920 is an abundant number, since it is smaller than the sum of its proper divisors (27637494528).

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

10381297920 is an equidigital number, since it uses as much as digits as its factorization.

10381297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10381297920 in words is "ten billion, three hundred eighty-one million, two hundred ninety-seven thousand, nine hundred twenty".