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51314461324 = 22731347170369
BaseRepresentation
bin101111110010100101…
…001000101010001100
311220110012012201120121
4233302211020222030
51320043000230244
635323514554324
73464422503340
oct576245105214
9156405181517
1051314461324
111a842748325
129b411389a4
134aba19c0a9
1426ab137620
151504e8ec84
hexbf2948a8c

51314461324 has 48 divisors (see below), whose sum is σ = 106245457920. Its totient is φ = 21221038080.

The previous prime is 51314461313. The next prime is 51314461333. The reversal of 51314461324 is 42316441315.

It is a self number, because there is not a number n which added to its sum of digits gives 51314461324.

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 15 ways as a sum of consecutive naturals, for example, 216012 + ... + 386380.

It is an arithmetic number, because the mean of its divisors is an integer number (2213447040).

Almost surely, 251314461324 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 51314461324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53122728960).

51314461324 is an abundant number, since it is smaller than the sum of its proper divisors (54930996596).

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

51314461324 is a wasteful number, since it uses less digits than its factorization.

51314461324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170758 (or 170756 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 51314461324 in words is "fifty-one billion, three hundred fourteen million, four hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 347 434 694 868 1388 2429 4858 9716 10757 21514 43028 75299 150598 170369 301196 340738 681476 1192583 2385166 4770332 5281439 10562878 21125756 36970073 59118043 73940146 118236086 147880292 236472172 413826301 827652602 1655305204 1832659333 3665318666 7330637332 12828615331 25657230662 51314461324