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255601235241 = 321137532313109
BaseRepresentation
bin1110111000001100000…
…1010101010100101001
3220102202021211002101100
43232003001111110221
513141432404011431
6313231021312013
724316015436442
oct3560301252451
9812667732340
10255601235241
1199444263190
1241654405609
131b145659681
14c52a69c2c9
1569ae9344e6
hex3b83055529

255601235241 has 48 divisors (see below), whose sum is σ = 413760409920. Its totient is φ = 150683276160.

The previous prime is 255601235233. The next prime is 255601235261. The reversal of 255601235241 is 142532106552.

255601235241 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 0 + 123 + 524 + 1 = 666.

It is not a de Polignac number, because 255601235241 - 23 = 255601235233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 255601235196 and 255601235205.

It is not an unprimeable number, because it can be changed into a prime (255601235261) 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 47 ways as a sum of consecutive naturals, for example, 19491595 + ... + 19504703.

It is an arithmetic number, because the mean of its divisors is an integer number (8620008540).

Almost surely, 2255601235241 is an apocalyptic number.

It is an amenable number.

255601235241 is a deficient number, since it is larger than the sum of its proper divisors (158159174679).

255601235241 is a wasteful number, since it uses less digits than its factorization.

255601235241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486 (or 18483 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 255601235241 in words is "two hundred fifty-five billion, six hundred one million, two hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 5323 13109 15969 39327 47907 58553 117981 144199 175659 196951 432597 485033 526977 590853 1297791 1455099 1772559 2166461 4365297 5335363 6499383 16006089 19498149 48018267 69779207 209337621 628012863 767571277 2302713831 2581830659 6908141493 7745491977 23236475931 28400137249 85200411747 255601235241