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51107621016 = 233173111335759
BaseRepresentation
bin101111100110010000…
…000110100010011000
311212220210000011000110
4233212100012202120
51314132022333031
635251205404320
73456331416354
oct574620064230
9155823004013
1051107621016
111a746a13121
129aa3a096a0
134a8638b48a
14268b894464
1514e1c33c46
hexbe6406898

51107621016 has 128 divisors (see below), whose sum is σ = 140888678400. Its totient is φ = 15378800640.

The previous prime is 51107621009. The next prime is 51107621021. The reversal of 51107621016 is 61012670115.

It is a super-2 number, since 2×511076210162 (a number of 22 digits) contains 22 as substring.

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, 1411345 + ... + 1447103.

It is an arithmetic number, because the mean of its divisors is an integer number (1100692800).

Almost surely, 251107621016 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 51107621016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70444339200).

51107621016 is an abundant number, since it is smaller than the sum of its proper divisors (89781057384).

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

51107621016 is a wasteful number, since it uses less digits than its factorization.

51107621016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35929 (or 35925 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 51107621016 in words is "fifty-one billion, one hundred seven million, six hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 113 124 136 186 204 226 248 339 372 408 452 527 678 744 904 1054 1356 1581 1921 2108 2712 3162 3503 3842 4216 5763 6324 7006 7684 10509 11526 12648 14012 15368 21018 23052 28024 35759 42036 46104 59551 71518 84072 107277 119102 143036 178653 214554 238204 286072 357306 429108 476408 607903 714612 858216 1108529 1215806 1429224 1823709 2217058 2431612 3325587 3647418 4040767 4434116 4863224 6651174 7294836 8081534 8868232 12122301 13302348 14589672 16163068 18844993 24244602 26604696 32326136 37689986 48489204 56534979 68693039 75379972 96978408 113069958 125263777 137386078 150759944 206079117 226139916 250527554 274772156 375791331 412158234 452279832 501055108 549544312 751582662 824316468 1002110216 1503165324 1648632936 2129484209 3006330648 4258968418 6388452627 8517936836 12776905254 17035873672 25553810508 51107621016