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10039149120 = 26357111331337
BaseRepresentation
bin10010101100110000…
…10100001001000000
3221220122102121121210
421112120110021000
5131030010232440
64340101450120
7503531234220
oct112630241100
927818377553
1010039149120
114291924360
121b42110940
13c3cb46930
146b3434080
153db542a80
hex256614240

10039149120 has 896 divisors, whose sum is σ = 44307873792. Its totient is φ = 1857945600.

The previous prime is 10039149097. The next prime is 10039149121. The reversal of 10039149120 is 2194193001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10039149121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 29789592 + ... + 29789928.

It is an arithmetic number, because the mean of its divisors is an integer number (49450752).

Almost surely, 210039149120 is an apocalyptic number.

10039149120 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 10039149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153936896).

10039149120 is an abundant number, since it is smaller than the sum of its proper divisors (34268724672).

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

10039149120 is a wasteful number, since it uses less digits than its factorization.

10039149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 10039149120 in words is "ten billion, thirty-nine million, one hundred forty-nine thousand, one hundred twenty".