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5081585904 = 243265953549
BaseRepresentation
bin1001011101110001…
…01101100011110000
3111010010220022101100
410232320231203300
540401341222104
62200124004400
7236632524153
oct45670554360
914103808340
105081585904
11217847177a
12b99990700
1362ca25a85
14362c5bc9a
151eb1c0139
hex12ee2d8f0

5081585904 has 60 divisors (see below), whose sum is σ = 14243229000. Its totient is φ = 1691260032.

The previous prime is 5081585897. The next prime is 5081585911. The reversal of 5081585904 is 4095851805.

It is a happy number.

5081585904 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 58 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5081585897) and next prime (5081585911).

It is a self number, because there is not a number n which added to its sum of digits gives 5081585904.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 68122 + ... + 121670.

It is an arithmetic number, because the mean of its divisors is an integer number (237387150).

Almost surely, 25081585904 is an apocalyptic number.

It is an amenable number.

5081585904 is an abundant number, since it is smaller than the sum of its proper divisors (9161643096).

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

5081585904 is a wasteful number, since it uses less digits than its factorization.

5081585904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54222 (or 54213 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 5081585904 is about 71285.2432415013. The cubic root of 5081585904 is about 1719.2264756883.

The spelling of 5081585904 in words is "five billion, eighty-one million, five hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 659 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 23724 31632 47448 53549 94896 107098 160647 214196 321294 428392 481941 642588 856784 963882 1285176 1927764 2570352 3855528 7711056 35288791 70577582 105866373 141155164 211732746 282310328 317599119 423465492 564620656 635198238 846930984 1270396476 1693861968 2540792952 5081585904