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51900224136 = 23319475345691
BaseRepresentation
bin110000010101011111…
…101001001010001000
311221222000102120002120
4300111133221022020
51322242424133021
635502001531240
73515064424545
oct602537511210
9157860376076
1051900224136
1120013361622
12a085343b20
134b816515c7
142724c55bcc
15153b5e92c6
hexc157e9288

51900224136 has 128 divisors (see below), whose sum is σ = 142120396800. Its totient is φ = 15737829120.

The previous prime is 51900224111. The next prime is 51900224213. The reversal of 51900224136 is 63142200915.

It is a junction number, because it is equal to n+sod(n) for n = 51900224097 and 51900224106.

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, 1113051 + ... + 1158741.

It is an arithmetic number, because the mean of its divisors is an integer number (1110315600).

Almost surely, 251900224136 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 51900224136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71060198400).

51900224136 is an abundant number, since it is smaller than the sum of its proper divisors (90220172664).

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

51900224136 is a wasteful number, since it uses less digits than its factorization.

51900224136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45819 (or 45815 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 51900224136 in words is "fifty-one billion, nine hundred million, two hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 53 57 76 94 106 114 141 152 159 188 212 228 282 318 376 424 456 564 636 893 1007 1128 1272 1786 2014 2491 2679 3021 3572 4028 4982 5358 6042 7144 7473 8056 9964 10716 12084 14946 19928 21432 24168 29892 45691 47329 59784 91382 94658 137073 141987 182764 189316 274146 283974 365528 378632 548292 567948 868129 1096584 1135896 1736258 2147477 2421623 2604387 3472516 4294954 4843246 5208774 6442431 6945032 7264869 8589908 9686492 10417548 12884862 14529738 17179816 19372984 20835096 25769724 29059476 40802063 46010837 51539448 58118952 81604126 92021674 113816281 122406189 138032511 163208252 184043348 227632562 244812378 276065022 326416504 341448843 368086696 455265124 489624756 552130044 682897686 910530248 979249512 1104260088 1365795372 2162509339 2731590744 4325018678 6487528017 8650037356 12975056034 17300074712 25950112068 51900224136