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56024266205125 = 5310918180928081
BaseRepresentation
bin11001011110100001010100…
…11111000110011111000101
321100100212102102211202112001
430233100222133012133011
524320400144122031000
6315053105333225301
714541422354320111
oct1457205237063705
9240325372752461
1056024266205125
111693a8377a5619
126349a65492231
1325350b127681a
14db983612a741
156724be16e46a
hex32f42a7c67c5

56024266205125 has 64 divisors (see below), whose sum is σ = 71039799230400. Its totient is φ = 44106716160000.

The previous prime is 56024266205119. The next prime is 56024266205129. The reversal of 56024266205125 is 52150266242065.

It can be written as a sum of positive squares in 32 ways, for example, as 55990365294241 + 33900910884 = 7482671^2 + 184122^2 .

It is not a de Polignac number, because 56024266205125 - 219 = 56024265680837 is a prime.

It is a super-2 number, since 2×560242662051252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56024266205129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995081085 + ... + 1995109165.

It is an arithmetic number, because the mean of its divisors is an integer number (1109996862975).

Almost surely, 256024266205125 is an apocalyptic number.

It is an amenable number.

56024266205125 is a deficient number, since it is larger than the sum of its proper divisors (15015533025275).

56024266205125 is a wasteful number, since it uses less digits than its factorization.

56024266205125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29195 (or 29185 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 56024266205125 in words is "fifty-six trillion, twenty-four billion, two hundred sixty-six million, two hundred five thousand, one hundred twenty-five".

Divisors: 1 5 25 109 125 181 545 809 905 2725 4045 4525 13625 19729 20225 22625 28081 88181 98645 101125 140405 146429 440905 493225 702025 732145 2204525 2466125 3060829 3510125 3660725 5082661 11022625 15304145 15960761 18303625 22717529 25413305 76520725 79803805 113587645 127066525 382603625 399019025 554010049 567938225 635332625 1995095125 2476210661 2770050245 2839691125 4111872749 12381053305 13850251225 20559363745 61905266525 69251256125 102796818725 309526332625 448194129641 513984093625 2240970648205 11204853241025 56024266205125