Search a number
-
+
2256351441625 = 53293185323539
BaseRepresentation
bin100000110101011001000…
…001101011001011011001
321222201001000022101001001
4200311121001223023121
5243432001432113000
64444315322025001
7322005330543241
oct40653101531331
97881030271031
102256351441625
1179aa05625146
12305367648161
13134a0845b438
147b2caa34b21
153da5d70046a
hex20d5906b2d9

2256351441625 has 64 divisors (see below), whose sum is σ = 3010649241600. Its totient is φ = 1684567584000.

The previous prime is 2256351441571. The next prime is 2256351441653. The reversal of 2256351441625 is 5261441536522.

It is not a de Polignac number, because 2256351441625 - 27 = 2256351441497 is a prime.

It is a super-2 number, since 2×22563514416252 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95844106 + ... + 95867644.

It is an arithmetic number, because the mean of its divisors is an integer number (47041394400).

Almost surely, 22256351441625 is an apocalyptic number.

2256351441625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256351441625 is a deficient number, since it is larger than the sum of its proper divisors (754297799975).

2256351441625 is a wasteful number, since it uses less digits than its factorization.

2256351441625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467 (or 24457 counting only the distinct ones).

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

The spelling of 2256351441625 in words is "two trillion, two hundred fifty-six billion, three hundred fifty-one million, four hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 5 25 29 31 125 145 155 725 775 853 899 3625 3875 4265 4495 21325 22475 23539 24737 26443 106625 112375 117695 123685 132215 588475 618425 661075 682631 729709 766847 2942375 3092125 3305375 3413155 3648545 3834235 17065775 18242725 19171175 20078767 21161561 85328875 91213625 95855875 100393835 105807805 501969175 529039025 582284243 622441777 2509845875 2645195125 2911421215 3112208885 14557106075 15561044425 18050811533 72785530375 77805222125 90254057665 451270288325 2256351441625