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82087119808 = 2647107255043
BaseRepresentation
bin100110001110011000…
…1100000101111000000
321211212210101202010121
41030130301200233000
52321103300313213
6101413231510024
75634124002001
oct1143461405700
9254783352117
1082087119808
11318a4048091
1213aaa988314
137982663155
143d8a0311a8
15220683e88d
hex131cc60bc0

82087119808 has 56 divisors (see below), whose sum is σ = 167912808192. Its totient is φ = 39794713344.

The previous prime is 82087119791. The next prime is 82087119827. The reversal of 82087119808 is 80891178028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194335 + ... + 449377.

Almost surely, 282087119808 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 82087119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83956404096).

82087119808 is an abundant number, since it is smaller than the sum of its proper divisors (85825688384).

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

82087119808 is a wasteful number, since it uses less digits than its factorization.

82087119808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255209 (or 255199 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 52.

The spelling of 82087119808 in words is "eighty-two billion, eighty-seven million, one hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 47 64 94 107 188 214 376 428 752 856 1504 1712 3008 3424 5029 6848 10058 20116 40232 80464 160928 255043 321856 510086 1020172 2040344 4080688 8161376 11987021 16322752 23974042 27289601 47948084 54579202 95896168 109158404 191792336 218316808 383584672 436633616 767169344 873267232 1282611247 1746534464 2565222494 5130444988 10260889976 20521779952 41043559904 82087119808