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639381600000 = 283555111323
BaseRepresentation
bin10010100110111100001…
…11001111011100000000
32021010100121021121200000
421103132013033130000
540433423142200000
61205421114400000
764123320633243
oct11233607173400
92233317247600
10639381600000
11227184276560
12a3abb730000
13483a78710c0
1422d3667925a
1511972400000
hex94de1cf700

639381600000 has 2592 divisors, whose sum is σ = 2929375507968. Its totient is φ = 136857600000.

The previous prime is 639381599959. The next prime is 639381600007. The reversal of 639381600000 is 6183936.

It is a happy number.

639381600000 is a `hidden beast` number, since 639 + 3 + 8 + 16 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639381600007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 27799199989 + ... + 27799200011.

It is an arithmetic number, because the mean of its divisors is an integer number (1130160304).

Almost surely, 2639381600000 is an apocalyptic number.

639381600000 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 639381600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464687753984).

639381600000 is an abundant number, since it is smaller than the sum of its proper divisors (2289993907968).

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

639381600000 is an equidigital number, since it uses as much as digits as its factorization.

639381600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 639381600000 its reverse (6183936), we get a palindrome (639387783936).

The spelling of 639381600000 in words is "six hundred thirty-nine billion, three hundred eighty-one million, six hundred thousand".