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5325312256 = 28111919901
BaseRepresentation
bin1001111010110100…
…11101000100000000
3111202010111220002021
410331122131010000
541401234443011
62240231531224
7245652256465
oct47532350400
914663456067
105325312256
112292aaaa10
121047529b14
1366b37ca54
1438738366c
152127b5471
hex13d69d100

5325312256 has 72 divisors (see below), whose sum is σ = 11658060288. Its totient is φ = 2407680000.

The previous prime is 5325312247. The next prime is 5325312257. The reversal of 5325312256 is 6522135235.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5325312257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532906 + ... + 542806.

It is an arithmetic number, because the mean of its divisors is an integer number (161917504).

Almost surely, 25325312256 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 5325312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829030144).

5325312256 is an abundant number, since it is smaller than the sum of its proper divisors (6332748032).

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

5325312256 is a wasteful number, since it uses less digits than its factorization.

5325312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10105 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The square root of 5325312256 is about 72974.7371081253. The cubic root of 5325312256 is about 1746.2846079524.

The spelling of 5325312256 in words is "five billion, three hundred twenty-five million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 256 352 382 704 764 1408 1528 2101 2816 3056 4202 6112 8404 9901 12224 16808 19802 24448 33616 39604 48896 67232 79208 108911 134464 158416 217822 268928 316832 435644 537856 633664 871288 1267328 1742576 1891091 2534656 3485152 3782182 6970304 7564364 13940608 15128728 20802001 27881216 30257456 41604002 60514912 83208004 121029824 166416008 242059648 332832016 484119296 665664032 1331328064 2662656128 5325312256