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5083095264 = 2531329313901
BaseRepresentation
bin1001011101111100…
…11110000011100000
3111010020201222211120
410232332132003200
540402233022024
62200220212240
7236651411502
oct45676360340
914106658746
105083095264
112179302785
12b9a39a080
13630133aa0
14363131d72
151eb3bc479
hex12ef9e0e0

5083095264 has 96 divisors (see below), whose sum is σ = 14419599264. Its totient is φ = 1558579200.

The previous prime is 5083095247. The next prime is 5083095299. The reversal of 5083095264 is 4625903805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 358714 + ... + 372614.

It is an arithmetic number, because the mean of its divisors is an integer number (150204159).

Almost surely, 25083095264 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 5083095264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209799632).

5083095264 is an abundant number, since it is smaller than the sum of its proper divisors (9336504000).

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

5083095264 is a wasteful number, since it uses less digits than its factorization.

5083095264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5083095264 is about 71295.8292188260. The cubic root of 5083095264 is about 1719.3966768056.

The spelling of 5083095264 in words is "five billion, eighty-three million, ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 293 312 416 586 624 879 1172 1248 1758 2344 3516 3809 4688 7032 7618 9376 11427 13901 14064 15236 22854 27802 28128 30472 41703 45708 55604 60944 83406 91416 111208 121888 166812 180713 182832 222416 333624 361426 365664 444832 542139 667248 722852 1084278 1334496 1445704 2168556 2891408 4072993 4337112 5782816 8145986 8674224 12218979 16291972 17348448 24437958 32583944 48875916 52948909 65167888 97751832 105897818 130335776 158846727 195503664 211795636 317693454 391007328 423591272 635386908 847182544 1270773816 1694365088 2541547632 5083095264