Search a number
-
+
255838025025 = 3252111492692579
BaseRepresentation
bin1110111001000100100…
…0100111010101000001
3220110100210101020220100
43232101020213111001
513142424013300100
6313310320433013
724324622221612
oct3562110472501
9813323336810
10255838025025
1199555993920
12416bb778769
131b18272527b
14c54dcd9c09
1569c5609400
hex3b91227541

255838025025 has 144 divisors (see below), whose sum is σ = 505313640000. Its totient is φ = 122704550400.

The previous prime is 255838025021. The next prime is 255838025033. The reversal of 255838025025 is 520520838552.

255838025025 is a `hidden beast` number, since 25 + 583 + 8 + 0 + 25 + 0 + 25 = 666.

It is not a de Polignac number, because 255838025025 - 22 = 255838025021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255838025021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99199186 + ... + 99201764.

It is an arithmetic number, because the mean of its divisors is an integer number (3509122500).

Almost surely, 2255838025025 is an apocalyptic number.

255838025025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

255838025025 is a deficient number, since it is larger than the sum of its proper divisors (249475614975).

255838025025 is a wasteful number, since it uses less digits than its factorization.

255838025025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 255838025025 in words is "two hundred fifty-five billion, eight hundred thirty-eight million, twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 149 165 225 269 275 447 495 745 807 825 1341 1345 1639 2235 2421 2475 2579 2959 3725 4035 4917 6705 6725 7737 8195 8877 11175 12105 12895 14751 14795 20175 23211 24585 26631 28369 33525 38685 40081 40975 44385 60525 64475 73755 73975 85107 116055 120243 122925 133155 141845 193425 200405 221925 255321 360729 368775 384271 425535 440891 580275 601215 665775 693751 709225 1002025 1152813 1276605 1322673 1803645 1921355 2081253 2127675 2204455 3006075 3458439 3468755 3968019 4226981 5764065 6243759 6383025 6613365 7631261 9018225 9606775 10406265 11022275 12680943 17292195 17343775 19840095 21134905 22893783 28820325 31218795 33066825 38042829 38156305 52031325 63404715 68681349 86460975 99200475 103368899 105674525 114468915 156093975 190214145 190781525 310106697 317023575 343406745 516844495 572344575 930320091 951070725 1137057889 1550533485 1717033725 2584222475 3411173667 4651600455 5685289445 7752667425 10233521001 17055868335 23258002275 28426447225 51167605005 85279341675 255838025025