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2536106342 = 2711173131249
BaseRepresentation
bin1001011100101001…
…1110100101100110
320112202010112212112
42113022132211212
520143220400332
61055353321022
7116563356020
oct22712364546
96482115775
102536106342
111091625260
125a9406172
13315561953
141a0b6d010
15ec9addb2
hex9729e966

2536106342 has 64 divisors (see below), whose sum is σ = 5184000000. Its totient is φ = 899942400.

The previous prime is 2536106299. The next prime is 2536106351. The reversal of 2536106342 is 2436016352.

It is a junction number, because it is equal to n+sod(n) for n = 2536106299 and 2536106308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65534 + ... + 96782.

It is an arithmetic number, because the mean of its divisors is an integer number (81000000).

Almost surely, 22536106342 is an apocalyptic number.

2536106342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2536106342 is an abundant number, since it is smaller than the sum of its proper divisors (2647893658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2536106342 is a wasteful number, since it uses less digits than its factorization.

2536106342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317.

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 2536106342 is about 50359.7690820758. The cubic root of 2536106342 is about 1363.7114492260.

It can be divided in two parts, 253610 and 6342, that added together give a palindrome (259952).

The spelling of 2536106342 in words is "two billion, five hundred thirty-six million, one hundred six thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 17 22 31 34 62 77 119 154 187 217 238 341 374 434 527 682 1054 1309 2387 2618 3689 4774 5797 7378 11594 31249 40579 62498 81158 218743 343739 437486 531233 687478 968719 1062466 1937438 2406173 3718631 4812346 5843563 6781033 7437262 10655909 11687126 13562066 16468223 21311818 32936446 40904941 74591363 81809882 115277561 149182726 181150453 230555122 362300906 1268053171 2536106342