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663393070080 = 210325132389541
BaseRepresentation
bin10011010011101010100…
…11101110110000000000
32100102100000002200100200
421221311103232300000
541332112111220310
61224431503445200
765633333025216
oct11516523566000
92312300080320
10663393070080
11236386103404
12a86a0bb6800
134a733355170
142417361ccb6
15123ca4099c0
hex9a754eec00

663393070080 has 1056 divisors, whose sum is σ = 2616938513280. Its totient is φ = 154156400640.

The previous prime is 663393070069. The next prime is 663393070097. The reversal of 663393070080 is 80070393366.

It is a happy number.

663393070080 is a `hidden beast` number, since 6 + 6 + 339 + 307 + 0 + 0 + 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, 1226234610 + ... + 1226235150.

Almost surely, 2663393070080 is an apocalyptic number.

663393070080 is a gapful number since it is divisible by the number (60) 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 663393070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308469256640).

663393070080 is an abundant number, since it is smaller than the sum of its proper divisors (1953545443200).

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

663393070080 is a wasteful number, since it uses less digits than its factorization.

663393070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 663393070080 in words is "six hundred sixty-three billion, three hundred ninety-three million, seventy thousand, eighty".