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2585212431 = 31495783473
BaseRepresentation
bin1001101000010111…
…0011011000001111
320200011112101202120
42122011303120033
520243303244211
61104310024023
7121030641324
oct23205633017
96604471676
102585212431
1111073153aa
12601948013
133227961c9
141a74b2b4b
15101e5dd06
hex9a17360f

2585212431 has 8 divisors (see below), whose sum is σ = 3470084400. Its totient is φ = 1711907712.

The previous prime is 2585212411. The next prime is 2585212433. The reversal of 2585212431 is 1342125852.

2585212431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2585212431 - 27 = 2585212303 is a prime.

It is a super-2 number, since 2×25852124312 = 13366646626793859522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2585212392 and 2585212401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585212433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2891290 + ... + 2892183.

It is an arithmetic number, because the mean of its divisors is an integer number (433760550).

Almost surely, 22585212431 is an apocalyptic number.

2585212431 is a deficient number, since it is larger than the sum of its proper divisors (884871969).

2585212431 is a wasteful number, since it uses less digits than its factorization.

2585212431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783625.

The product of its digits is 19200, while the sum is 33.

The square root of 2585212431 is about 50844.9843249066. The cubic root of 2585212431 is about 1372.4569955437.

It can be divided in two parts, 25852 and 12431, that added together give a palindrome (38283).

The spelling of 2585212431 in words is "two billion, five hundred eighty-five million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 149 447 5783473 17350419 861737477 2585212431