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4704313744 = 2413213192
BaseRepresentation
bin1000110000110011…
…00010000110010000
3110010211222220021101
410120121202012100
534113301014434
62054445434144
7224402002264
oct43031420620
913124886241
104704313744
111aa450a5a9
12ab356b954
1359c811400
14328ad20a4
151c7eeab14
hex118662190

4704313744 has 45 divisors (see below), whose sum is σ = 9877152513. Its totient is φ = 2169575616.

The previous prime is 4704313709. The next prime is 4704313771. The reversal of 4704313744 is 4473134074.

The square root of 4704313744 is 68588.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 695904400 + 4008409344 = 26380^2 + 63312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3565917 + ... + 3567235.

Almost surely, 24704313744 is an apocalyptic number.

4704313744 is the 68588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4704313744

4704313744 is an abundant number, since it is smaller than the sum of its proper divisors (5172838769).

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

4704313744 is an equidigital number, since it uses as much as digits as its factorization.

4704313744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The cubic root of 4704313744 is about 1675.5809962227.

Multiplying 4704313744 by its product of nonzero digits (112896), we get a square (531098204442624 = 230455682).

The spelling of 4704313744 in words is "four billion, seven hundred four million, three hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1319 1352 2638 2704 5276 10552 17147 21104 34294 68588 137176 222911 274352 445822 891644 1739761 1783288 3479522 3566576 6959044 13918088 22616893 27836176 45233786 90467572 180935144 294019609 361870288 588039218 1176078436 2352156872 4704313744