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107812934083092 = 223746110212726873
BaseRepresentation
bin11000100000111000100111…
…101000110110001000010100
3112010201211000202011202010010
4120200320213220312020110
5103112401342111124332
61021144324515000220
731465141004122530
oct3040704750661024
9463654022152103
10107812934083092
1131397232681287
1210112a51599070
134820940250734
141c8a26109abc0
15c6e6dda419cc
hex620e27a36214

107812934083092 has 96 divisors (see below), whose sum is σ = 288407108715264. Its totient is φ = 30706760217600.

The previous prime is 107812934083091. The next prime is 107812934083093. The reversal of 107812934083092 is 290380439218701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107812934083091) and next prime (107812934083093).

It is a super-3 number, since 3×1078129340830923 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107812934083091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38173768 + ... + 40900640.

It is an arithmetic number, because the mean of its divisors is an integer number (3004240715784).

Almost surely, 2107812934083092 is an apocalyptic number.

107812934083092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107812934083092 is an abundant number, since it is smaller than the sum of its proper divisors (180594174632172).

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

107812934083092 is a wasteful number, since it uses less digits than its factorization.

107812934083092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728369 (or 2728367 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 107812934083092 in words is "one hundred seven trillion, eight hundred twelve billion, nine hundred thirty-four million, eighty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 461 922 1021 1383 1844 2042 2766 3063 3227 4084 5532 6126 6454 7147 9681 12252 12908 14294 19362 21441 28588 38724 42882 85764 470681 941362 1412043 1882724 2726873 2824086 3294767 5453746 5648172 6589534 8180619 9884301 10907492 13179068 16361238 19088111 19768602 32722476 38176222 39537204 57264333 76352444 114528666 229057332 1257088453 2514176906 2784137333 3771265359 5028353812 5568274666 7542530718 8352411999 8799619171 11136549332 15085061436 16704823998 17599238342 19488961331 26398857513 33409647996 35198476684 38977922662 52797715026 58466883993 77955845324 105595430052 116933767986 233867535972 1283487310513 2566974621026 3850461931539 5133949242052 7700923863078 8984411173591 15401847726156 17968822347182 26953233520773 35937644694364 53906467041546 107812934083092