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5718342032 = 2413296115541
BaseRepresentation
bin1010101001101011…
…01111100110010000
3112202112001212120122
411110311233212100
543202343421112
62343231525412
7261464051054
oct52465574620
915675055518
105718342032
112474945007
121137089868
13701920850
143c3651c64
1523704d872
hex154d6f990

5718342032 has 80 divisors (see below), whose sum is σ = 12546124080. Its totient is φ = 2506291200.

The previous prime is 5718342031. The next prime is 5718342073. The reversal of 5718342032 is 2302438175.

It can be written as a sum of positive squares in 8 ways, for example, as 619810816 + 5098531216 = 24896^2 + 71404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5718341983 and 5718342001.

It is not an unprimeable number, because it can be changed into a prime (5718342031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 360182 + ... + 375722.

It is an arithmetic number, because the mean of its divisors is an integer number (156826551).

Almost surely, 25718342032 is an apocalyptic number.

5718342032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5718342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273062040).

5718342032 is an abundant number, since it is smaller than the sum of its proper divisors (6827782048).

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

5718342032 is a wasteful number, since it uses less digits than its factorization.

5718342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15652 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5718342032 is about 75619.7198619514. The cubic root of 5718342032 is about 1788.2299984231.

The spelling of 5718342032 in words is "five billion, seven hundred eighteen million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 61 104 116 122 208 232 244 377 464 488 754 793 976 1508 1586 1769 3016 3172 3538 6032 6344 7076 12688 14152 15541 22997 28304 31082 45994 62164 91988 124328 183976 202033 248656 367952 404066 450689 808132 901378 948001 1616264 1802756 1896002 3232528 3605512 3792004 5858957 7211024 7584008 11717914 12324013 15168016 23435828 24648026 27492029 46871656 49296052 54984058 93743312 98592104 109968116 197184208 219936232 357396377 439872464 714792754 1429585508 2859171016 5718342032