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255305208741 = 311231033265733
BaseRepresentation
bin1110110111000101100…
…0000101001110100101
3220101222122210101100220
43231301120011032211
513140331113134431
6313141404354553
724305462316432
oct3556130051645
9811878711326
10255305208741
1199302153090
1241591245a59
131b0c922036b
14c4dd240b89
15699395cb96
hex3b716053a5

255305208741 has 32 divisors (see below), whose sum is σ = 391261059072. Its totient is φ = 146566052160.

The previous prime is 255305208733. The next prime is 255305208757. The reversal of 255305208741 is 147802503552.

255305208741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 255305208741 - 23 = 255305208733 is a prime.

It is a super-2 number, since 2×2553052087412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 255305208693 and 255305208702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255305208721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1554690 + ... + 1711043.

It is an arithmetic number, because the mean of its divisors is an integer number (12226908096).

Almost surely, 2255305208741 is an apocalyptic number.

It is an amenable number.

255305208741 is a deficient number, since it is larger than the sum of its proper divisors (135955850331).

255305208741 is a wasteful number, since it uses less digits than its factorization.

255305208741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265873.

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 255305208741 in words is "two hundred fifty-five billion, three hundred five million, two hundred eight thousand, seven hundred forty-one".

Divisors: 1 3 11 23 33 69 103 253 309 759 1133 2369 3399 7107 26059 78177 3265733 9797199 35923063 75111859 107769189 225335577 336370499 826230449 1009111497 2478691347 3700075489 7736521477 11100226467 23209564431 85101736247 255305208741