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5315727264 = 25397599953
BaseRepresentation
bin1001111001101011…
…11000111110100000
3111201110110220221120
410330311320332200
541341311233024
62235250252240
7245504636061
oct47465707640
914643426846
105315727264
112288653631
121044287080
136693a5063
14385daa568
15211a20479
hex13cd78fa0

5315727264 has 96 divisors (see below), whose sum is σ = 14135990400. Its totient is φ = 1748877312.

The previous prime is 5315727233. The next prime is 5315727293. The reversal of 5315727264 is 4627275135.

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

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, 5577412 + ... + 5578364.

It is an arithmetic number, because the mean of its divisors is an integer number (147249900).

Almost surely, 25315727264 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 5315727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067995200).

5315727264 is an abundant number, since it is smaller than the sum of its proper divisors (8820263136).

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

5315727264 is a wasteful number, since it uses less digits than its factorization.

5315727264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 5315727264 is about 72909.0341727279. The cubic root of 5315727264 is about 1745.2362702824.

The spelling of 5315727264 in words is "five billion, three hundred fifteen million, seven hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 599 776 953 1164 1198 1552 1797 1906 2328 2396 2859 3104 3594 3812 4656 4792 5718 7188 7624 9312 9584 11436 14376 15248 19168 22872 28752 30496 45744 57504 58103 91488 92441 116206 174309 184882 232412 277323 348618 369764 464824 554646 570847 697236 739528 929648 1109292 1141694 1394472 1479056 1712541 1859296 2218584 2283388 2788944 2958112 3425082 4437168 4566776 5577888 6850164 8874336 9133552 13700328 18267104 27400656 54801312 55372159 110744318 166116477 221488636 332232954 442977272 664465908 885954544 1328931816 1771909088 2657863632 5315727264