Search a number
-
+
90249131895255 = 3355197128634229
BaseRepresentation
bin10100100001010011000011…
…011100101010100111010111
3102211112201210011200211202000
4110201103003130222213113
543312120210231122010
6515535513454450343
725003166422610034
oct2441230334524727
9384481704624660
1090249131895255
112683549518a473
12a156a778039b3
133b485c226c778
14184011d0bc38b
15a678c13697c0
hex5214c372a9d7

90249131895255 has 32 divisors (see below), whose sum is σ = 160473774609600. Its totient is φ = 48123608305536.

The previous prime is 90249131895233. The next prime is 90249131895257. The reversal of 90249131895255 is 55259813194209.

90249131895255 is a `hidden beast` number, since 9 + 0 + 2 + 4 + 91 + 3 + 18 + 9 + 525 + 5 = 666.

It is not a de Polignac number, because 90249131895255 - 225 = 90249098340823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90249131895192 and 90249131895201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90249131895257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63615520 + ... + 65018709.

It is an arithmetic number, because the mean of its divisors is an integer number (5014805456550).

Almost surely, 290249131895255 is an apocalyptic number.

90249131895255 is a deficient number, since it is larger than the sum of its proper divisors (70224642714345).

90249131895255 is a wasteful number, since it uses less digits than its factorization.

90249131895255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128639440 (or 128639434 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 90249131895255 in words is "ninety trillion, two hundred forty-nine billion, one hundred thirty-one million, eight hundred ninety-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 5197 15591 25985 46773 77955 140319 233865 701595 128634229 385902687 643171145 1157708061 1929513435 3473124183 5788540305 17365620915 668512088113 2005536264339 3342560440565 6016608793017 10027681321695 18049826379051 30083043965085 90249131895255