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2312624042664 = 23313172503174197
BaseRepresentation
bin100001101001110011001…
…000100111001010101000
322012002021202010200122220
4201221303020213022220
5300342223223331124
64530223235114040
7326036660010465
oct41516310471250
98162252120586
102312624042664
11811861a891a1
12314251142920
1313a1058c08c0
147dd0845466c
1540253ac8879
hex21a732272a8

2312624042664 has 128 divisors (see below), whose sum is σ = 6595219895040. Its totient is φ = 669447770112.

The previous prime is 2312624042633. The next prime is 2312624042669. The reversal of 2312624042664 is 4662404262132.

It is not an unprimeable number, because it can be changed into a prime (2312624042669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13188814 + ... + 13363010.

It is an arithmetic number, because the mean of its divisors is an integer number (51525155430).

Almost surely, 22312624042664 is an apocalyptic number.

2312624042664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312624042664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297609947520).

2312624042664 is an abundant number, since it is smaller than the sum of its proper divisors (4282595852376).

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

2312624042664 is a wasteful number, since it uses less digits than its factorization.

2312624042664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176739 (or 176735 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 2312624042664 in words is "two trillion, three hundred twelve billion, six hundred twenty-four million, forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2503 2652 5006 5304 7509 10012 15018 20024 30036 32539 42551 60072 65078 85102 97617 127653 130156 170204 174197 195234 255306 260312 340408 348394 390468 510612 522591 553163 696788 780936 1021224 1045182 1106326 1393576 1659489 2090364 2212652 2264561 2961349 3318978 4180728 4425304 4529122 5922698 6637956 6793683 8884047 9058244 11845396 13275912 13587366 17768094 18116488 23690792 27174732 35536188 38497537 54349464 71072376 76995074 115492611 153990148 230985222 307980296 436015091 461970444 872030182 923940888 1308045273 1744060364 2616090546 3488120728 5232181092 5668196183 7412256547 10464362184 11336392366 14824513094 17004588549 22236769641 22672784732 29649026188 34009177098 44473539282 45345569464 59298052376 68018354196 88947078564 96359335111 136036708392 177894157128 192718670222 289078005333 385437340444 578156010666 770874680888 1156312021332 2312624042664