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90481008027293 = 1334949094062521
BaseRepresentation
bin10100100100101011000000…
…010101111010011010011101
3102212100220022000112210221022
4110210223000111322122131
543324420101023333133
6520234222401013525
725026015504323432
oct2444530025723235
9385326260483838
1090481008027293
1126914864218444
12a1939aa6242a5
133b6442654b720
14184b43885bb89
15a6d942ead998
hex524ac057a69d

90481008027293 has 16 divisors (see below), whose sum is σ = 97740216798000. Its totient is φ = 83264629916160.

The previous prime is 90481008027239. The next prime is 90481008027307. The reversal of 90481008027293 is 39272080018409.

It can be written as a sum of positive squares in 8 ways, for example, as 3663033529 + 90477344993764 = 60523^2 + 9511958^2 .

It is a cyclic number.

It is not a de Polignac number, because 90481008027293 - 26 = 90481008027229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90481008627293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20240873 + ... + 24303393.

It is an arithmetic number, because the mean of its divisors is an integer number (6108763549875).

Almost surely, 290481008027293 is an apocalyptic number.

It is an amenable number.

90481008027293 is a deficient number, since it is larger than the sum of its proper divisors (7259208770707).

90481008027293 is a wasteful number, since it uses less digits than its factorization.

90481008027293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067792.

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 90481008027293 in words is "ninety trillion, four hundred eighty-one billion, eight million, twenty-seven thousand, two hundred ninety-three".

Divisors: 1 13 349 4537 4909 63817 1713241 4062521 22272133 52812773 1417819829 18431657777 19942915589 259257902657 6960077540561 90481008027293