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51334311952 = 24711229130619
BaseRepresentation
bin101111110011110000…
…110111000000010000
311220111120120020112001
4233303300313000100
51320113040440302
635325504243344
73465053311030
oct576360670020
9156446506461
1051334311952
111a852976400
129b47910554
134ac132c521
1426ada238c0
151506ab1787
hexbf3c37010

51334311952 has 120 divisors (see below), whose sum is σ = 129251102400. Its totient is φ = 19310565120.

The previous prime is 51334311947. The next prime is 51334311979. The reversal of 51334311952 is 25911343315.

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 23 ways as a sum of consecutive naturals, for example, 327699 + ... + 458317.

It is an arithmetic number, because the mean of its divisors is an integer number (1077092520).

Almost surely, 251334311952 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 51334311952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64625551200).

51334311952 is an abundant number, since it is smaller than the sum of its proper divisors (77916790448).

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

51334311952 is a wasteful number, since it uses less digits than its factorization.

51334311952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130685 (or 130668 counting only the distinct ones).

The product of its digits is 48600, while the sum is 37.

The spelling of 51334311952 in words is "fifty-one billion, three hundred thirty-four million, three hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 121 154 176 203 232 242 308 319 406 464 484 616 638 812 847 968 1232 1276 1624 1694 1936 2233 2552 3248 3388 3509 4466 5104 6776 7018 8932 13552 14036 17864 24563 28072 35728 49126 56144 98252 130619 196504 261238 393008 522476 914333 1044952 1436809 1828666 2089904 2873618 3657332 3787951 5747236 7314664 7575902 10057663 11494472 14629328 15151804 15804899 20115326 22988944 26515657 30303608 31609798 40230652 41667461 53031314 60607216 63219596 80461304 83334922 106062628 110634293 126439192 160922608 166669844 212125256 221268586 252878384 291672227 333339688 424250512 442537172 458342071 583344454 666679376 885074344 916684142 1166688908 1770148688 1833368284 2333377816 3208394497 3666736568 4666755632 6416788994 7333473136 12833577988 25667155976 51334311952