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663525789696 = 21234711191367
BaseRepresentation
bin10011010011111010011…
…10000001000000000000
32100102200020211112110000
421221331032001000000
541332400100232241
61224453004240000
765636534103660
oct11517516010000
92312606745400
10663525789696
11236444012640
12a8719540000
134a7549b3793
14241870ca1a0
15123d6dc3eb6
hex9a7d381000

663525789696 has 1040 divisors, whose sum is σ = 2603212508160. Its totient is φ = 163154165760.

The previous prime is 663525789653. The next prime is 663525789733. The reversal of 663525789696 is 696987525366.

663525789696 is a `hidden beast` number, since 6 + 6 + 3 + 525 + 7 + 8 + 9 + 6 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (881798400) is a multiple of the sum of its prime factors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 485387605 + ... + 485388971.

Almost surely, 2663525789696 is an apocalyptic number.

663525789696 is a gapful number since it is divisible by the number (66) 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 663525789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301606254080).

663525789696 is an abundant number, since it is smaller than the sum of its proper divisors (1939686718464).

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

663525789696 is a wasteful number, since it uses less digits than its factorization.

663525789696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1409 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 663525789696 in words is "six hundred sixty-three billion, five hundred twenty-five million, seven hundred eighty-nine thousand, six hundred ninety-six".