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2582337442060 = 2253371607238417
BaseRepresentation
bin100101100100111111010…
…011100101000100001100
3100010212110112110222220201
4211210333103211010030
5314302111341121220
65254150501223244
7354365505043045
oct45447723450414
910125415428821
102582337442060
1190618818a162
12358583701b24
13159689b6b55c
148cdb30658cc
154728c3e9d0a
hex2593f4e510c

2582337442060 has 48 divisors (see below), whose sum is σ = 5442407740224. Its totient is φ = 1029224706048.

The previous prime is 2582337442021. The next prime is 2582337442067. The reversal of 2582337442060 is 602447332852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2582337442060.

It is not an unprimeable number, because it can be changed into a prime (2582337442067) 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, 10711972 + ... + 10950388.

It is an arithmetic number, because the mean of its divisors is an integer number (113383494588).

Almost surely, 22582337442060 is an apocalyptic number.

2582337442060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582337442060 is an abundant number, since it is smaller than the sum of its proper divisors (2860070298164).

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

2582337442060 is a wasteful number, since it uses less digits than its factorization.

2582337442060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240370 (or 240368 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 2582337442060 in words is "two trillion, five hundred eighty-two billion, three hundred thirty-seven million, four hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 10 20 337 674 1348 1607 1685 3214 3370 6428 6740 8035 16070 32140 238417 476834 541559 953668 1083118 1192085 2166236 2384170 2707795 4768340 5415590 10831180 80346529 160693058 321386116 383136119 401732645 766272238 803465290 1532544476 1606930580 1915680595 3831361190 7662722380 129116872103 258233744206 516467488412 645584360515 1291168721030 2582337442060