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5130344256 = 263315631531
BaseRepresentation
bin1001100011100101…
…01101011101000000
3111020112122111021020
410301302231131000
541001332004011
62205025025440
7241064130612
oct46162553500
914215574236
105130344256
1121a2a44634
12bb2185280
13639b67c7b
14369510db2
15200602006
hex131cad740

5130344256 has 112 divisors (see below), whose sum is σ = 14045964288. Its totient is φ = 1650931200.

The previous prime is 5130344251. The next prime is 5130344257. The reversal of 5130344256 is 6524430315.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130344251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3350211 + ... + 3351741.

Almost surely, 25130344256 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 5130344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022982144).

5130344256 is an abundant number, since it is smaller than the sum of its proper divisors (8915620032).

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

5130344256 is a wasteful number, since it uses less digits than its factorization.

5130344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5130344256 is about 71626.4214937477. The cubic root of 5130344256 is about 1724.7077016180.

It can be divided in two parts, 51303 and 44256, that added together give a palindrome (95559).

The spelling of 5130344256 in words is "five billion, one hundred thirty million, three hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 563 744 992 1126 1488 1531 1689 1984 2252 2976 3062 3378 4504 4593 5952 6124 6756 9008 9186 12248 13512 17453 18016 18372 24496 27024 34906 36032 36744 47461 48992 52359 54048 69812 73488 94922 97984 104718 108096 139624 142383 146976 189844 209436 279248 284766 293952 379688 418872 558496 569532 759376 837744 861953 1116992 1139064 1518752 1675488 1723906 2278128 2585859 3037504 3350976 3447812 4556256 5171718 6895624 9112512 10343436 13791248 20686872 26720543 27582496 41373744 53441086 55164992 80161629 82747488 106882172 160323258 165494976 213764344 320646516 427528688 641293032 855057376 1282586064 1710114752 2565172128 5130344256