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93900393314112 = 2637116351487643
BaseRepresentation
bin10101010110011011100011…
…100101100111011101000000
3110022110210022212020001200010
4111112123203211213131000
544301431001142022422
6531413124542424520
725531036165566660
oct2526334345473500
9408423285201603
1093900393314112
1127a12a2a058410
12a646637892140
1340519cc916a78
141928b363061a0
15acc870ddeb0c
hex5566e3967740

93900393314112 has 112 divisors (see below), whose sum is σ = 309749349422592. Its totient is φ = 24389712545280.

The previous prime is 93900393314111. The next prime is 93900393314159. The reversal of 93900393314112 is 21141339300939.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93900393314111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175729038 + ... + 3175758605.

Almost surely, 293900393314112 is an apocalyptic number.

It is an amenable number.

93900393314112 is an abundant number, since it is smaller than the sum of its proper divisors (215848956108480).

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

93900393314112 is a wasteful number, since it uses less digits than its factorization.

93900393314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351487676 (or 6351487666 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The spelling of 93900393314112 in words is "ninety-three trillion, nine hundred billion, three hundred ninety-three million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 6351487643 12702975286 19054462929 25405950572 38108925858 44460413501 50811901144 69866364073 76217851716 88920827002 101623802288 133381240503 139732728146 152435703432 177841654004 203247604576 209599092219 266762481006 279465456292 304871406864 355683308008 406495209152 419198184438 489064548511 533524962012 558930912584 609742813728 711366616016 838396368876 978129097022 1067049924024 1117861825168 1219485627456 1422733232032 1467193645533 1676792737752 1956258194044 2134099848048 2235723650336 2845466464064 2934387291066 3353585475504 3912516388088 4268199696096 4471447300672 5868774582132 6707170951008 7825032776176 8536399392192 11737549164264 13414341902016 15650065552352 23475098328528 31300131104704 46950196657056 93900393314112