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82238682603672 = 23327163171989293
BaseRepresentation
bin10010101100101110101111…
…011101101010000010011000
3101210011221102012010102120100
4102230232233131222002120
541234344310221304142
6450523532414055400
723215356135226530
oct2254565735520230
9353157365112510
1082238682603672
112422725840a871
1292824a84aa560
1336b70c787ba4a
141644532b644c0
1597933bd97b4c
hex4acbaf76a098

82238682603672 has 48 divisors (see below), whose sum is σ = 254548303298640. Its totient is φ = 23496766458048.

The previous prime is 82238682603643. The next prime is 82238682603683. The reversal of 82238682603672 is 27630628683228.

It is a happy number.

82238682603672 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 8 + 6 + 8 + 260 + 367 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81585994143 + ... + 81585995150.

It is an arithmetic number, because the mean of its divisors is an integer number (5303089652055).

Almost surely, 282238682603672 is an apocalyptic number.

It is an amenable number.

82238682603672 is an abundant number, since it is smaller than the sum of its proper divisors (172309620694968).

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

82238682603672 is a wasteful number, since it uses less digits than its factorization.

82238682603672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163171989312 (or 163171989305 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 82238682603672 in words is "eighty-two trillion, two hundred thirty-eight billion, six hundred eighty-two million, six hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 163171989293 326343978586 489515967879 652687957172 979031935758 1142203925051 1305375914344 1468547903637 1958063871516 2284407850102 2937095807274 3426611775153 3916127743032 4568815700204 5874191614548 6853223550306 9137631400408 10279835325459 11748383229096 13706447100612 20559670650918 27412894201224 41119341301836 82238682603672