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10412495520 = 2535719211773
BaseRepresentation
bin10011011001010001…
…00001001010100000
3222212122221120121020
421230220201022200
5132311044324040
64441115525440
7516013515540
oct115450411240
928778846536
1010412495520
114463644aa9
122027159880
13c9c2b546b
1470ac5b320
1540e1ddcd0
hex26ca212a0

10412495520 has 384 divisors, whose sum is σ = 39696168960. Its totient is φ = 2241146880.

The previous prime is 10412495503. The next prime is 10412495551. The reversal of 10412495520 is 2559421401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13469854 + ... + 13470626.

It is an arithmetic number, because the mean of its divisors is an integer number (103375440).

Almost surely, 210412495520 is an apocalyptic number.

10412495520 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 10412495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848084480).

10412495520 is an abundant number, since it is smaller than the sum of its proper divisors (29283673440).

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

10412495520 is a wasteful number, since it uses less digits than its factorization.

10412495520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 10412495520 in words is "ten billion, four hundred twelve million, four hundred ninety-five thousand, five hundred twenty".