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51031969296 = 24371157124181
BaseRepresentation
bin101111100001101111…
…100000111000010000
311212201111122122100220
4233201233200320100
51314003141004141
635235504113040
73454422403410
oct574157407020
9155644578326
1051031969296
111a708241940
129a82605780
134a737c1349
142681800640
1514da28d766
hexbe1be0e10

51031969296 has 160 divisors (see below), whose sum is σ = 164657366016. Its totient is φ = 13231296000.

The previous prime is 51031969283. The next prime is 51031969319. The reversal of 51031969296 is 69296913015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2098326 + ... + 2122506.

Almost surely, 251031969296 is an apocalyptic number.

51031969296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51031969296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328683008).

51031969296 is an abundant number, since it is smaller than the sum of its proper divisors (113625396720).

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

51031969296 is a wasteful number, since it uses less digits than its factorization.

51031969296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24781 (or 24775 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 51.

The spelling of 51031969296 in words is "fifty-one billion, thirty-one million, nine hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 571 616 924 1142 1232 1713 1848 2284 3426 3696 3997 4568 6281 6852 7994 9136 11991 12562 13704 15988 18843 23982 24181 25124 27408 31976 37686 43967 47964 48362 50248 63952 72543 75372 87934 95928 96724 100496 131901 145086 150744 169267 175868 191856 193448 263802 265991 290172 301488 338534 351736 386896 507801 527604 531982 580344 677068 703472 797973 1015602 1055208 1063964 1160688 1354136 1595946 1861937 2031204 2110416 2127928 2708272 3191892 3723874 4062408 4255856 5585811 6383784 7447748 8124816 11171622 12767568 13807351 14895496 22343244 27614702 29790992 41422053 44686488 55229404 82844106 89372976 96651457 110458808 151880861 165688212 193302914 220917616 289954371 303761722 331376424 386605828 455642583 579908742 607523444 662752848 773211656 911285166 1063166027 1159817484 1215046888 1546423312 1822570332 2126332054 2319634968 2430093776 3189498081 3645140664 4252664108 4639269936 6378996162 7290281328 8505328216 12757992324 17010656432 25515984648 51031969296