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639369349920 = 2532572175389113
BaseRepresentation
bin10010100110111010110…
…00100000101100100000
32021010022202020020201100
421103131120200230200
540433412023144140
61205420000034400
764123111542600
oct11233530405440
92233282206640
10639369349920
11227178369924
12a3ab7602a00
13483a5172332
1422d34baac00
15119712d0530
hex94dd620b20

639369349920 has 1728 divisors, whose sum is σ = 2793338926560. Its totient is φ = 132252696576.

The previous prime is 639369349919. The next prime is 639369349943. The reversal of 639369349920 is 29943963936.

639369349920 is a `hidden beast` number, since 6 + 3 + 9 + 36 + 93 + 499 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5377582224 + 633991767696 = 73332^2 + 796236^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5658135784 + ... + 5658135896.

Almost surely, 2639369349920 is an apocalyptic number.

639369349920 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 639369349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396669463280).

639369349920 is an abundant number, since it is smaller than the sum of its proper divisors (2153969576640).

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

639369349920 is a wasteful number, since it uses less digits than its factorization.

639369349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 51018336, while the sum is 63.

The spelling of 639369349920 in words is "six hundred thirty-nine billion, three hundred sixty-nine million, three hundred forty-nine thousand, nine hundred twenty".