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42648670930131 = 3273011224829967
BaseRepresentation
bin10011011001001111010101…
…11000011000010011010011
312121000011200012120100021200
421230213222320120103103
521042223434224231011
6230412310130322243
711661156552346230
oct1154475270302323
9177004605510250
1042648670930131
1112653221989652
124949721729383
131aa49a2083576
14a762c7212787
154de5ca8c8856
hex26c9eae184d3

42648670930131 has 24 divisors (see below), whose sum is σ = 70427537816064. Its totient is φ = 24362575115760.

The previous prime is 42648670930109. The next prime is 42648670930157. The reversal of 42648670930131 is 13103907684624.

42648670930131 is a `hidden beast` number, since 4 + 2 + 6 + 486 + 70 + 93 + 0 + 1 + 3 + 1 = 666.

42648670930131 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 42648670930131 - 26 = 42648670930067 is a prime.

It is a super-2 number, since 2×426486709301312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42648670930531) 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 23 ways as a sum of consecutive naturals, for example, 112225291 + ... + 112604676.

It is an arithmetic number, because the mean of its divisors is an integer number (2934480742336).

Almost surely, 242648670930131 is an apocalyptic number.

42648670930131 is a deficient number, since it is larger than the sum of its proper divisors (27778866885933).

42648670930131 is a wasteful number, since it uses less digits than its factorization.

42648670930131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224832991 (or 224832988 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42648670930131 in words is "forty-two trillion, six hundred forty-eight billion, six hundred seventy million, nine hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 3011 9033 21077 27099 63231 189693 224829967 674489901 1573809769 2023469703 4721429307 14164287921 676963030637 2030889091911 4738741214459 6092667275733 14216223643377 42648670930131