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639275985504 = 253313316912657
BaseRepresentation
bin10010100110101111101…
…00010110101001100000
32021010002020112211211000
421103113310112221200
540433214123014004
61205402422552000
764120566135252
oct11232764265140
92233066484730
10639275985504
1122712a69a852
12a3a90298600
134838ba12c10
1422d26625cd2
1511967edbc39
hex94d7d16a60

639275985504 has 384 divisors, whose sum is σ = 2076536770560. Its totient is φ = 190008115200.

The previous prime is 639275985497. The next prime is 639275985521. The reversal of 639275985504 is 405589572936.

639275985504 is a `hidden beast` number, since 6 + 3 + 9 + 2 + 75 + 9 + 8 + 550 + 4 = 666.

It is a super-2 number, since 2×6392759855042 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240599344 + ... + 240602000.

It is an arithmetic number, because the mean of its divisors is an integer number (5407647840).

Almost surely, 2639275985504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639275985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038268385280).

639275985504 is an abundant number, since it is smaller than the sum of its proper divisors (1437260785056).

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

639275985504 is a wasteful number, since it uses less digits than its factorization.

639275985504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 639275985504 in words is "six hundred thirty-nine billion, two hundred seventy-five million, nine hundred eighty-five thousand, five hundred four".