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10004490528 = 25329103139251
BaseRepresentation
bin10010101000101000…
…00110100100100000
3221211020012202222020
421110110012210200
5130442122144103
64332422541440
7502630523604
oct112424064440
927736182866
1010004490528
11427430189a
121b32597880
13c359003a6
146ac9b1504
153d8498753
hex254506920

10004490528 has 192 divisors, whose sum is σ = 27738547200. Its totient is φ = 3153024000.

The previous prime is 10004490523. The next prime is 10004490541. The reversal of 10004490528 is 82509440001.

It is not an unprimeable number, because it can be changed into a prime (10004490523) 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 31 ways as a sum of consecutive naturals, for example, 39858403 + ... + 39858653.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 210004490528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004490528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869273600).

10004490528 is an abundant number, since it is smaller than the sum of its proper divisors (17734056672).

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

10004490528 is a wasteful number, since it uses less digits than its factorization.

10004490528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10004490528 in words is "ten billion, four million, four hundred ninety thousand, five hundred twenty-eight".