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51311755752 = 233291311513727
BaseRepresentation
bin101111110010011010…
…110100000111101000
311220110000010021020020
4233302122310013220
51320041302141002
635323341000440
73464360504355
oct576232640750
9156400107206
1051311755752
111a84116a614
129b40253120
134ab976276a
1426aaa3162c
151504b082bc
hexbf26b41e8

51311755752 has 128 divisors (see below), whose sum is σ = 134637465600. Its totient is φ = 16275168000.

The previous prime is 51311755751. The next prime is 51311755763. The reversal of 51311755752 is 25755711315.

It is not an unprimeable number, because it can be changed into a prime (51311755751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13765713 + ... + 13769439.

It is an arithmetic number, because the mean of its divisors is an integer number (1051855200).

Almost surely, 251311755752 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 51311755752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67318732800).

51311755752 is an abundant number, since it is smaller than the sum of its proper divisors (83325709848).

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

51311755752 is a wasteful number, since it uses less digits than its factorization.

51311755752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4043 counting only the distinct ones).

The product of its digits is 183750, while the sum is 42.

The spelling of 51311755752 in words is "fifty-one billion, three hundred eleven million, seven hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 131 151 174 232 262 302 348 393 453 524 604 696 786 906 1048 1208 1572 1812 3144 3624 3727 3799 4379 7454 7598 8758 11181 11397 13137 14908 15196 17516 19781 22362 22794 26274 29816 30392 35032 39562 44724 45588 52548 59343 79124 89448 91176 105096 108083 118686 158248 216166 237372 324249 432332 474744 488237 562777 573649 648498 864664 976474 1125554 1147298 1296996 1464711 1688331 1720947 1952948 2251108 2294596 2593992 2929422 3376662 3441894 3905896 4502216 4589192 5858844 6753324 6883788 11717688 13506648 13767576 14158873 16320533 28317746 32641066 42476619 48961599 56635492 65282132 73723787 84953238 97923198 113270984 130564264 147447574 169906476 195846396 221171361 294895148 339812952 391692792 442342722 589790296 884685444 1769370888 2137989823 4275979646 6413969469 8551959292 12827938938 17103918584 25655877876 51311755752