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51025310664 = 233231934391091
BaseRepresentation
bin101111100001010110…
…000111001111001000
311212201001010100102220
4233201112013033020
51313444434420124
635235105254040
73454311661446
oct574126071710
9155631110386
1051025310664
111a704504139
129a80334320
134a722cc623
142680989b96
1514d98c5879
hexbe15873c8

51025310664 has 128 divisors (see below), whose sum is σ = 134226892800. Its totient is φ = 16132976640.

The previous prime is 51025310647. The next prime is 51025310681. The reversal of 51025310664 is 46601352015.

51025310664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51025310647) and next prime (51025310681).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46768759 + ... + 46769849.

It is an arithmetic number, because the mean of its divisors is an integer number (1048647600).

Almost surely, 251025310664 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 51025310664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67113446400).

51025310664 is an abundant number, since it is smaller than the sum of its proper divisors (83201582136).

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

51025310664 is a wasteful number, since it uses less digits than its factorization.

51025310664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 51025310664 its reverse (46601352015), we get a palindrome (97626662679).

The spelling of 51025310664 in words is "fifty-one billion, twenty-five million, three hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 193 276 386 439 552 579 772 878 1091 1158 1317 1544 1756 2182 2316 2634 3273 3512 4364 4439 4632 5268 6546 8728 8878 10097 10536 13092 13317 17756 20194 25093 26184 26634 30291 35512 40388 50186 53268 60582 75279 80776 84727 100372 106536 121164 150558 169454 200744 210563 242328 254181 301116 338908 421126 478949 508362 602232 631689 677816 842252 957898 1016724 1263378 1436847 1684504 1915796 1948721 2033448 2526756 2873694 3831592 3897442 4842949 5053512 5747388 5846163 7794884 9685898 11015827 11494776 11692326 14528847 15589768 19371796 22031654 23384652 29057694 33047481 38743592 44063308 46769304 58115388 66094962 88126616 92437157 116230776 132189924 184874314 264379848 277311471 369748628 554622942 739497256 1109245884 2126054611 2218491768 4252109222 6378163833 8504218444 12756327666 17008436888 25512655332 51025310664