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108735399966042 = 23253661172433293
BaseRepresentation
bin11000101110010011101110…
…111000111011010101011010
3112021000000001222110221002100
4120232103232320323111122
5103223010044342403132
61023132204140144230
731621605401552223
oct3056235670732532
9467000058427070
10108735399966042
1131712473611493
1210241795538076
1348899202299b5
141cbcb7005824a
15c886cd52637c
hex62e4eee3b55a

108735399966042 has 48 divisors (see below), whose sum is σ = 240401670362568. Its totient is φ = 35507463488640.

The previous prime is 108735399966029. The next prime is 108735399966107. The reversal of 108735399966042 is 240669993537801.

108735399966042 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 3 + 5 + 3 + 9 + 9 + 9 + 6 + 604 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107730512007561 + 1004887958481 = 10379331^2 + 1002441^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85586053 + ... + 86847240.

It is a 1-persistent number, because it is pandigital, but 2⋅108735399966042 = 217470799932084 is not.

Almost surely, 2108735399966042 is an apocalyptic number.

108735399966042 is an abundant number, since it is smaller than the sum of its proper divisors (131666270396526).

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

108735399966042 is a wasteful number, since it uses less digits than its factorization.

108735399966042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172434015 (or 172434012 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 108735399966042 in words is "one hundred eight trillion, seven hundred thirty-five billion, three hundred ninety-nine million, nine hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 661 954 1322 1983 3966 5949 11898 35033 70066 105099 210198 315297 630594 172433293 344866586 517299879 1034599758 1551899637 3103799274 9138964529 18277929058 27416893587 54833787174 82250680761 113978406673 164501361522 227956813346 341935220019 683870440038 1025805660057 2051611320114 6040855553669 12081711107338 18122566661007 36245133322014 54367699983021 108735399966042