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258080302755 = 32511521374349
BaseRepresentation
bin1111000001011011001…
…0001110011010100011
3220200011001121202200200
43300112302032122203
513212022024142010
6314321020320243
724434320243512
oct3602662163243
9820131552620
10258080302755
119a4a666a310
12420266a3083
131b44c13a122
14c6c3a20679
156aa73c7cc0
hex3c16c8e6a3

258080302755 has 24 divisors (see below), whose sum is σ = 488006391600. Its totient is φ = 125129843520.

The previous prime is 258080302703. The next prime is 258080302759. The reversal of 258080302755 is 557203080852.

258080302755 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 258080302755 - 28 = 258080302499 is a prime.

It is a super-2 number, since 2×2580803027552 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258080302755.

It is not an unprimeable number, because it can be changed into a prime (258080302759) 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 23 ways as a sum of consecutive naturals, for example, 260686680 + ... + 260687669.

It is an arithmetic number, because the mean of its divisors is an integer number (20333599650).

Almost surely, 2258080302755 is an apocalyptic number.

258080302755 is a deficient number, since it is larger than the sum of its proper divisors (229926088845).

258080302755 is a wasteful number, since it uses less digits than its factorization.

258080302755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521374371 (or 521374368 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 258080302755 in words is "two hundred fifty-eight billion, eighty million, three hundred two thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 521374349 1564123047 2606871745 4692369141 5735117839 7820615235 17205353517 23461845705 28675589195 51616060551 86026767585 258080302755