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5275584756 = 2234136120533
BaseRepresentation
bin1001110100111001…
…10000100011110100
3111121122221110210000
410322130300203310
541301022203011
62231254031300
7244506505401
oct47234604364
914548843700
105275584756
112267a25a02
121032948530
13660c8b6b0
1438091b2a8
1520d241356
hex13a7308f4

5275584756 has 120 divisors (see below), whose sum is σ = 15096514664. Its totient is φ = 1596568320.

The previous prime is 5275584739. The next prime is 5275584761. The reversal of 5275584756 is 6574855725.

5275584756 is a `hidden beast` number, since 5 + 2 + 7 + 5 + 584 + 7 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 5275116900 = 684^2 + 72630^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246666 + ... + 267198.

Almost surely, 25275584756 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 5275584756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548257332).

5275584756 is an abundant number, since it is smaller than the sum of its proper divisors (9820929908).

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

5275584756 is a wasteful number, since it uses less digits than its factorization.

5275584756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20623 (or 20612 counting only the distinct ones).

The product of its digits is 11760000, while the sum is 54.

The square root of 5275584756 is about 72633.2207464326. The cubic root of 5275584756 is about 1740.8320277639.

The spelling of 5275584756 in words is "five billion, two hundred seventy-five million, five hundred eighty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 244 324 351 366 468 549 702 732 793 1053 1098 1404 1586 1647 2106 2196 2379 3172 3294 4212 4758 4941 6588 7137 9516 9882 14274 19764 20533 21411 28548 41066 42822 61599 64233 82132 85644 123198 128466 184797 246396 256932 266929 369594 533858 554391 739188 800787 1067716 1108782 1252513 1601574 1663173 2217564 2402361 2505026 3203148 3326346 3757539 4804722 5010052 6652692 7207083 7515078 9609444 11272617 14414166 15030156 16282669 21621249 22545234 28828332 32565338 33817851 43242498 45090468 48848007 65130676 67635702 86484996 97696014 101453553 135271404 146544021 195392028 202907106 293088042 405814212 439632063 586176084 879264126 1318896189 1758528252 2637792378 5275584756