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51040900512 = 2532752348409
BaseRepresentation
bin101111100010010001…
…100101010110100000
311212202010110101200200
4233202101211112200
51314012432304022
635240423345200
73454561332060
oct574221452640
9155663411620
1051040900512
111a712292008
129a855b2200
134a755ca5a4
142682a873a0
1514dae54bac
hexbe24655a0

51040900512 has 144 divisors (see below), whose sum is σ = 166203535680. Its totient is φ = 14554930176.

The previous prime is 51040900499. The next prime is 51040900577. The reversal of 51040900512 is 21500904015.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030164 + ... + 1078572.

It is an arithmetic number, because the mean of its divisors is an integer number (1154191220).

Almost surely, 251040900512 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 51040900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83101767840).

51040900512 is an abundant number, since it is smaller than the sum of its proper divisors (115162635168).

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

51040900512 is a wasteful number, since it uses less digits than its factorization.

51040900512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48955 (or 48944 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 51040900512 in words is "fifty-one billion, forty million, nine hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 523 672 1008 1046 1569 2016 2092 3138 3661 4184 4707 6276 7322 8368 9414 10983 12552 14644 16736 18828 21966 25104 29288 32949 37656 43932 48409 50208 58576 65898 75312 87864 96818 117152 131796 145227 150624 175728 193636 263592 290454 338863 351456 387272 435681 527184 580908 677726 774544 871362 1016589 1054368 1161816 1355452 1549088 1742724 2033178 2323632 2710904 3049767 3485448 4066356 4647264 5421808 6099534 6970896 8132712 10843616 12199068 13941792 16265424 24398136 25317907 32530848 48796272 50635814 75953721 97592544 101271628 151907442 177225349 202543256 227861163 303814884 354450698 405086512 455722326 531676047 607629768 708901396 810173024 911444652 1063352094 1215259536 1417802792 1595028141 1822889304 2126704188 2430519072 2835605584 3190056282 3645778608 4253408376 5671211168 6380112564 7291557216 8506816752 12760225128 17013633504 25520450256 51040900512