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10413396000 = 253253731243
BaseRepresentation
bin10011011001010111…
…11101000000100000
3222212201122022211100
421230223331000200
5132311312133000
64441151114400
7516024256050
oct115453750040
928781568740
1010413396000
1144640aa5a7
122027512a00
13c9c53c2a7
1470b013560
1540e31aa00
hex26cafd020

10413396000 has 864 divisors, whose sum is σ = 44658117504. Its totient is φ = 2249856000.

The previous prime is 10413395959. The next prime is 10413396017. The reversal of 10413396000 is 69331401.

10413396000 is a `hidden beast` number, since 10 + 4 + 13 + 39 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242171979 + ... + 242172021.

It is an arithmetic number, because the mean of its divisors is an integer number (51687636).

Almost surely, 210413396000 is an apocalyptic number.

10413396000 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 10413396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22329058752).

10413396000 is an abundant number, since it is smaller than the sum of its proper divisors (34244721504).

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

10413396000 is a wasteful number, since it uses less digits than its factorization.

10413396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10413396000 in words is "ten billion, four hundred thirteen million, three hundred ninety-six thousand".