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104638363008 = 27317531671811
BaseRepresentation
bin110000101110011101…
…1101011010110000000
3101000002102112121010020
41201130323223112000
53203244410104013
6120023055133440
710363015260504
oct1413473532600
9330072477106
10104638363008
114041669a963
1218343214280
139b3776c43a
1450c90a6304
152ac6559623
hex185ceeb580

104638363008 has 256 divisors, whose sum is σ = 301810199040. Its totient is φ = 31997788160.

The previous prime is 104638363001. The next prime is 104638363033. The reversal of 104638363008 is 800363836401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104638363001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57778423 + ... + 57780233.

It is an arithmetic number, because the mean of its divisors is an integer number (1178946090).

Almost surely, 2104638363008 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 104638363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150905099520).

104638363008 is an abundant number, since it is smaller than the sum of its proper divisors (197171836032).

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

104638363008 is a wasteful number, since it uses less digits than its factorization.

104638363008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 104638363008 in words is "one hundred four billion, six hundred thirty-eight million, three hundred sixty-three thousand, eight".