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56121091104 = 25313285115773
BaseRepresentation
bin110100010001000100…
…111110010000100000
312100212011201211001210
4310101010332100200
51404413444403404
641440501430120
74024506255261
oct642104762040
9170764654053
1056121091104
1121889990431
12aa62a0b340
1353a4c55220
142a05660968
1516d6e4b689
hexd1113e420

56121091104 has 96 divisors (see below), whose sum is σ = 158715716544. Its totient is φ = 17260876800.

The previous prime is 56121091093. The next prime is 56121091157. The reversal of 56121091104 is 40119012165.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550162 + ... + 3565934.

It is an arithmetic number, because the mean of its divisors is an integer number (1653288714).

Almost surely, 256121091104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56121091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79357858272).

56121091104 is an abundant number, since it is smaller than the sum of its proper divisors (102594625440).

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

56121091104 is a wasteful number, since it uses less digits than its factorization.

56121091104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18650 (or 18642 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 56121091104 in words is "fifty-six billion, one hundred twenty-one million, ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2851 5702 8553 11404 15773 17106 22808 31546 34212 37063 45616 47319 63092 68424 74126 91232 94638 111189 126184 136848 148252 189276 205049 222378 252368 273696 296504 378552 410098 444756 504736 593008 615147 757104 820196 889512 1186016 1230294 1514208 1640392 1779024 2460588 3280784 3558048 4921176 6561568 9842352 19684704 44968823 89937646 134906469 179875292 269812938 359750584 539625876 584594699 719501168 1079251752 1169189398 1439002336 1753784097 2158503504 2338378796 3507568194 4317007008 4676757592 7015136388 9353515184 14030272776 18707030368 28060545552 56121091104