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256640031751350 = 235213131610272693
BaseRepresentation
bin111010010110100110101001…
…111011010111110010110110
31020122200112210001222121021010
4322112212221323113302312
5232114242241112020400
62305454445235333050
7105025426142500362
oct7226465173276266
91218615701877233
10256640031751350
1174856476371705
122494a683451186
13b0280884ba880
14475362db762a2
151ea0be21ae450
hexe969a9ed7cb6

256640031751350 has 48 divisors (see below), whose sum is σ = 685426300190352. Its totient is φ = 63172930892160.

The previous prime is 256640031751339. The next prime is 256640031751351. The reversal of 256640031751350 is 53157130046652.

It is a happy number.

It is a super-2 number, since 2×2566400317513502 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256640031751350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256640031751351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65805134397 + ... + 65805138296.

It is an arithmetic number, because the mean of its divisors is an integer number (14279714587299).

Almost surely, 2256640031751350 is an apocalyptic number.

256640031751350 is an abundant number, since it is smaller than the sum of its proper divisors (428786268439002).

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

256640031751350 is a wasteful number, since it uses less digits than its factorization.

256640031751350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131610272721 (or 131610272716 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 256640031751350 in words is "two hundred fifty-six trillion, six hundred forty billion, thirty-one million, seven hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 131610272693 263220545386 394830818079 658051363465 789661636158 1316102726930 1710933545009 1974154090395 3290256817325 3421867090018 3948308180790 5132800635027 6580513634650 8554667725045 9870770451975 10265601270054 17109335450090 19741540903950 25664003175135 42773338625225 51328006350270 85546677250450 128320015875675 256640031751350