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102306215904 = 2535693187193
BaseRepresentation
bin101111101000111101…
…1001111011111100000
3100210001220012020201120
41133101323033133200
53134010342402104
6114555425132240
710251146326014
oct1372173173740
9323056166646
10102306215904
113a42a212262
12179b218a080
13985554cc39
144d4746a544
1529db937cd9
hex17d1ecf7e0

102306215904 has 48 divisors (see below), whose sum is σ = 268602424272. Its totient is φ = 34095899648.

The previous prime is 102306215887. The next prime is 102306215909. The reversal of 102306215904 is 409512603201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102306215909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452932 + ... + 640124.

It is an arithmetic number, because the mean of its divisors is an integer number (5595883839).

Almost surely, 2102306215904 is an apocalyptic number.

It is an amenable number.

102306215904 is an abundant number, since it is smaller than the sum of its proper divisors (166296208368).

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

102306215904 is a wasteful number, since it uses less digits than its factorization.

102306215904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192899 (or 192891 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 102306215904 in words is "one hundred two billion, three hundred six million, two hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5693 11386 17079 22772 34158 45544 68316 91088 136632 182176 187193 273264 374386 546528 561579 748772 1123158 1497544 2246316 2995088 4492632 5990176 8985264 17970528 1065689749 2131379498 3197069247 4262758996 6394138494 8525517992 12788276988 17051035984 25576553976 34102071968 51153107952 102306215904