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51113431116 = 2232112316334429
BaseRepresentation
bin101111100110100110…
…010001000001001100
311212221011221022222100
4233212212101001030
51314140014243431
635251534115100
73456431665416
oct574646210114
9155834838870
1051113431116
111a74a221360
129aa594ba90
134a87643bc7
14268c5679b6
1514e24d04e6
hexbe699104c

51113431116 has 144 divisors (see below), whose sum is σ = 147983996160. Its totient is φ = 14724167040.

The previous prime is 51113431099. The next prime is 51113431121. The reversal of 51113431116 is 61113431115.

51113431116 is a `hidden beast` number, since 5 + 1 + 113 + 431 + 116 = 666.

It is a super-2 number, since 2×511134311162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51113431116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467390 + ... + 1501818.

It is an arithmetic number, because the mean of its divisors is an integer number (1027666640).

Almost surely, 251113431116 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 51113431116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73991998080).

51113431116 is an abundant number, since it is smaller than the sum of its proper divisors (96870565044).

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

51113431116 is a wasteful number, since it uses less digits than its factorization.

51113431116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34636 (or 34631 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

Subtracting 51113431116 from its reverse (61113431115), we obtain a palindrome (9999999999).

The spelling of 51113431116 in words is "fifty-one billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 163 198 207 253 276 326 396 414 489 506 652 759 828 978 1012 1467 1518 1793 1956 2277 2934 3036 3586 3749 4554 5379 5868 7172 7498 9108 10758 11247 14996 16137 21516 22494 32274 33741 34429 41239 44988 64548 67482 68858 82478 103287 123717 134964 137716 164956 206574 247434 309861 371151 378719 413148 494868 619722 742302 757438 791867 1136157 1239444 1484604 1514876 1583734 2272314 2375601 3167468 3408471 4544628 4751202 5611927 6816942 7126803 8710537 9502404 11223854 13633884 14253606 16835781 17421074 22447708 26131611 28507212 33671562 34842148 50507343 52263222 61731197 67343124 78394833 101014686 104526444 123462394 129074321 156789666 185193591 202029372 246924788 258148642 313579332 370387182 387222963 516297284 555580773 740774364 774445926 1111161546 1161668889 1419817531 1548891852 2222323092 2323337778 2839635062 4259452593 4646675556 5679270124 8518905186 12778357779 17037810372 25556715558 51113431116