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5312566464 = 263127223977
BaseRepresentation
bin1001111001010011…
…10101010011000000
3111201020112100010220
410330221311103000
541340004111324
62235054423040
7245436032652
oct47451652300
914636470126
105312566464
1122868948a7
121043201a80
1366883946a
143857c66d2
152115e8b79
hex13ca754c0

5312566464 has 112 divisors (see below), whose sum is σ = 14244937728. Its totient is φ = 1747243008.

The previous prime is 5312566447. The next prime is 5312566477. The reversal of 5312566464 is 4646652135.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437144 + ... + 5438120.

It is an arithmetic number, because the mean of its divisors is an integer number (127186944).

Almost surely, 25312566464 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 5312566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122468864).

5312566464 is an abundant number, since it is smaller than the sum of its proper divisors (8932371264).

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

5312566464 is a wasteful number, since it uses less digits than its factorization.

5312566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 5312566464 is about 72887.3546234187. The cubic root of 5312566464 is about 1744.8902883654.

The spelling of 5312566464 in words is "five billion, three hundred twelve million, five hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 223 254 381 446 508 669 762 892 977 1016 1338 1524 1784 1954 2032 2676 2931 3048 3568 3908 4064 5352 5862 6096 7136 7816 8128 10704 11724 12192 14272 15632 21408 23448 24384 28321 31264 42816 46896 56642 62528 84963 93792 113284 124079 169926 187584 217871 226568 248158 339852 372237 435742 453136 496316 653613 679704 744474 871484 906272 992632 1307226 1359408 1488948 1742968 1812544 1985264 2614452 2718816 2977896 3485936 3970528 5228904 5437632 5955792 6971872 7941056 10457808 11911584 13943744 20915616 23823168 27669617 41831232 55339234 83008851 110678468 166017702 221356936 332035404 442713872 664070808 885427744 1328141616 1770855488 2656283232 5312566464