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4745315268 = 2232378574157
BaseRepresentation
bin1000110101101011…
…11100001111000100
3110020201010222210100
410122311330033010
534204300042033
62102512324100
7225410341251
oct43265741704
913221128710
104745315268
112015674661
12b05243630
135a8168a75
14330326428
151cb8e9513
hex11ad7c3c4

4745315268 has 72 divisors (see below), whose sum is σ = 12336636312. Its totient is φ = 1536855552.

The previous prime is 4745315221. The next prime is 4745315273. The reversal of 4745315268 is 8625135474.

4745315268 is a `hidden beast` number, since 4 + 7 + 4 + 531 + 52 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2694855744 + 2050459524 = 51912^2 + 45282^2 .

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 23 ways as a sum of consecutive naturals, for example, 1139446 + ... + 1143602.

It is an arithmetic number, because the mean of its divisors is an integer number (171342171).

Almost surely, 24745315268 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 4745315268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168318156).

4745315268 is an abundant number, since it is smaller than the sum of its proper divisors (7591321044).

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

4745315268 is a wasteful number, since it uses less digits than its factorization.

4745315268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5056 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4745315268 is about 68886.2487583698. The cubic root of 4745315268 is about 1680.4348916642.

The spelling of 4745315268 in words is "four billion, seven hundred forty-five million, three hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 857 1332 1714 2571 3428 4157 5142 7713 8314 10284 12471 15426 16628 24942 30852 31709 37413 49884 63418 74826 95127 126836 149652 153809 190254 285381 307618 380508 461427 570762 615236 922854 1141524 1384281 1845708 2768562 3562549 5537124 7125098 10687647 14250196 21375294 32062941 42750588 64125882 128251764 131814313 263628626 395442939 527257252 790885878 1186328817 1581771756 2372657634 4745315268