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51118665156 = 223213839713567
BaseRepresentation
bin101111100110111010…
…001110110111000100
311212221112210020201200
4233212322032313010
51314142334241111
635252242222500
73456524325126
oct574672166704
9155845706650
1051118665156
111a752176809
129aa7654a30
134a88757380
14268d12b216
1514e2bb6256
hexbe6e8edc4

51118665156 has 144 divisors (see below), whose sum is σ = 142295322624. Its totient is φ = 15377983488.

The previous prime is 51118665149. The next prime is 51118665161. The reversal of 51118665156 is 65156681115.

51118665156 is a `hidden beast` number, since 51 + 1 + 1 + 86 + 6 + 515 + 6 = 666.

It is a super-3 number, since 3×511186651563 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3761085 + ... + 3774651.

Almost surely, 251118665156 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 51118665156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71147661312).

51118665156 is an abundant number, since it is smaller than the sum of its proper divisors (91176657468).

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

51118665156 is a wasteful number, since it uses less digits than its factorization.

51118665156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770 (or 13765 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 51118665156 in words is "fifty-one billion, one hundred eighteen million, six hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 97 117 156 166 194 234 249 291 332 388 468 498 582 747 873 996 1079 1164 1261 1494 1746 2158 2522 2988 3237 3492 3783 4316 5044 6474 7566 8051 9711 11349 12948 13567 15132 16102 19422 22698 24153 27134 32204 38844 40701 45396 48306 54268 72459 81402 96612 104663 122103 144918 162804 176371 209326 244206 289836 313989 352742 418652 488412 529113 627978 705484 941967 1058226 1126061 1255956 1315999 1587339 1883934 2116452 2252122 2631998 3174678 3378183 3767868 3947997 4504244 5263996 6349356 6756366 7895994 10134549 11843991 13512732 14638793 15791988 17107987 20269098 23687982 29277586 34215974 40538196 43916379 47375964 51323961 58555172 68431948 87832758 102647922 109227917 131749137 153971883 175665516 205295844 218455834 263498274 307943766 327683751 436911668 526996548 615887532 655367502 983051253 1310735004 1419962921 1966102506 2839925842 3932205012 4259888763 5679851684 8519777526 12779666289 17039555052 25559332578 51118665156