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10396068480 = 2732571729523
BaseRepresentation
bin10011010111010011…
…10110101010000000
3222211112000222221100
421223221312222000
5132242343142410
64435331454400
7515424060360
oct115351665200
928745028840
1010396068480
114455345136
122021757400
13c98a83415
147089c29a0
1540ca468c0
hex26ba76a80

10396068480 has 768 divisors, whose sum is σ = 45024595200. Its totient is φ = 2155216896.

The previous prime is 10396068433. The next prime is 10396068511. The reversal of 10396068480 is 8486069301.

10396068480 is a `hidden beast` number, since 1 + 0 + 39 + 606 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19877499 + ... + 19878021.

It is an arithmetic number, because the mean of its divisors is an integer number (58625775).

Almost surely, 210396068480 is an apocalyptic number.

10396068480 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 10396068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22512297600).

10396068480 is an abundant number, since it is smaller than the sum of its proper divisors (34628526720).

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

10396068480 is a wasteful number, since it uses less digits than its factorization.

10396068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10396068480 in words is "ten billion, three hundred ninety-six million, sixty-eight thousand, four hundred eighty".