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639372165120 = 2163451317109
BaseRepresentation
bin10010100110111011000…
…11010000000000000000
32021010022221112021110000
421103131203100000000
540433413233240440
61205420140240000
764123144506303
oct11233543200000
92233287467400
10639372165120
11227179a11a37
12a3ab8540000
13483a5919830
1422d35300b3a
1511971689730
hex94dd8d0000

639372165120 has 1360 divisors, whose sum is σ = 2637767175120. Its totient is φ = 146767085568.

The previous prime is 639372165109. The next prime is 639372165127. The reversal of 639372165120 is 21561273936.

639372165120 is a `hidden beast` number, since 63 + 9 + 3 + 72 + 1 + 6 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191102976 + 639181062144 = 13824^2 + 799488^2 .

It is a tau number, because it is divible by the number of its divisors (1360).

It is a super-2 number, since 2×6393721651202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639372165127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5865799626 + ... + 5865799734.

Almost surely, 2639372165120 is an apocalyptic number.

639372165120 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 639372165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318883587560).

639372165120 is an abundant number, since it is smaller than the sum of its proper divisors (1998395010000).

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

639372165120 is a wasteful number, since it uses less digits than its factorization.

639372165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 639372165120 in words is "six hundred thirty-nine billion, three hundred seventy-two million, one hundred sixty-five thousand, one hundred twenty".