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5256001344 = 2631117913903
BaseRepresentation
bin1001110010100100…
…00011011101000000
3111120022002112101110
410321102003131000
541231014020334
62225314203320
7244151163036
oct47122033500
914508075343
105256001344
11225796a670
121028283540
13659bc2a89
1437c0a0556
1520b673ae9
hex139483740

5256001344 has 112 divisors (see below), whose sum is σ = 15256581120. Its totient is φ = 1583715840.

The previous prime is 5256001339. The next prime is 5256001363. The reversal of 5256001344 is 4431006525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371097 + ... + 384999.

Almost surely, 25256001344 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 5256001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628290560).

5256001344 is an abundant number, since it is smaller than the sum of its proper divisors (10000579776).

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

5256001344 is a wasteful number, since it uses less digits than its factorization.

5256001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5256001344 is about 72498.2851107528. The cubic root of 5256001344 is about 1738.6753188854.

Adding to 5256001344 its reverse (4431006525), we get a palindrome (9687007869).

The spelling of 5256001344 in words is "five billion, two hundred fifty-six million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 179 192 264 352 358 528 537 704 716 1056 1074 1432 1969 2112 2148 2864 3938 4296 5728 5907 7876 8592 11456 11814 13903 15752 17184 23628 27806 31504 34368 41709 47256 55612 63008 83418 94512 111224 126016 152933 166836 189024 222448 305866 333672 378048 444896 458799 611732 667344 889792 917598 1223464 1334688 1835196 2446928 2488637 2669376 3670392 4893856 4977274 7340784 7465911 9787712 9954548 14681568 14931822 19909096 27375007 29363136 29863644 39818192 54750014 59727288 79636384 82125021 109500028 119454576 159272768 164250042 219000056 238909152 328500084 438000112 477818304 657000168 876000224 1314000336 1752000448 2628000672 5256001344