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104807763060 = 22357211213131173
BaseRepresentation
bin110000110011100000…
…1111000110001110100
3101000112020022000022020
41201213001320301310
53204121241404220
6120051550033140
710400143200300
oct1414701706164
9330466260266
10104807763060
11404a3282700
121838baa87b0
139b638a1660
1451037a0d00
152ad636c040
hex1867078c74

104807763060 has 864 divisors, whose sum is σ = 409531199616. Its totient is φ = 19834214400.

The previous prime is 104807763043. The next prime is 104807763119. The reversal of 104807763060 is 60367708401.

It is a super-2 number, since 2×1048077630602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 605825134 + ... + 605825306.

It is an arithmetic number, because the mean of its divisors is an integer number (473994444).

Almost surely, 2104807763060 is an apocalyptic number.

104807763060 is a gapful number since it is divisible by the number (10) 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 104807763060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204765599808).

104807763060 is an abundant number, since it is smaller than the sum of its proper divisors (304723436556).

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

104807763060 is a wasteful number, since it uses less digits than its factorization.

104807763060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 104807763060 in words is "one hundred four billion, eight hundred seven million, seven hundred sixty-three thousand, sixty".