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268161641112792 = 2337101122011129529
BaseRepresentation
bin111100111110010000111111…
…010111000110010011011000
31022011111000001211200021221010
4330332100333113012103120
5240122030020111102132
62350155431322013520
7110325016311260220
oct7476207727062330
91264430054607833
10268161641112792
11784987934a3109
12260ab6330472a0
13b6826c399a09b
144a31142467080
1521007766656cc
hexf3e43f5c64d8

268161641112792 has 128 divisors (see below), whose sum is σ = 773774335065600. Its totient is φ = 75857814144000.

The previous prime is 268161641112787. The next prime is 268161641112821. The reversal of 268161641112792 is 297211146161862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070217884 + ... + 2070347412.

It is an arithmetic number, because the mean of its divisors is an integer number (6045111992700).

Almost surely, 2268161641112792 is an apocalyptic number.

It is an amenable number.

268161641112792 is an abundant number, since it is smaller than the sum of its proper divisors (505612693952808).

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

268161641112792 is a wasteful number, since it uses less digits than its factorization.

268161641112792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251657 (or 251653 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The spelling of 268161641112792 in words is "two hundred sixty-eight trillion, one hundred sixty-one billion, six hundred forty-one million, one hundred twelve thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 16968 122011 129529 244022 259058 366033 388587 488044 518116 732066 777174 854077 906703 976088 1036232 1464132 1554348 1708154 1813406 2562231 2720109 2928264 3108696 3416308 3626812 5124462 5440218 6832616 7253624 10248924 10880436 12323111 13082429 20497848 21760872 24646222 26164858 36969333 39247287 49292444 52329716 73938666 78494574 86261777 91577003 98584888 104659432 147877332 156989148 172523554 183154006 258785331 274731009 295754664 313978296 345047108 366308012 517570662 549462018 690094216 732616024 1035141324 1098924036 2070282648 2197848072 15803962819 31607925638 47411888457 63215851276 94823776914 110627739733 126431702552 189647553828 221255479466 331883219199 379295107656 442510958932 663766438398 885021917864 1327532876796 1596200244719 2655065753592 3192400489438 4788600734157 6384800978876 9577201468314 11173401713033 12769601957752 19154402936628 22346803426066 33520205139099 38308805873256 44693606852132 67040410278198 89387213704264 134080820556396 268161641112792