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2731442725464 = 2332343115075949
BaseRepresentation
bin100111101111110110101…
…011000110001001011000
3100200010022221101012100120
4213233312223012021120
5324222443314203324
65450450225033240
7401224461042105
oct47576653061130
910603287335316
102731442725464
11963442234502
12381456785820
1316a75cc540bb
14962b9a73aac
154b0b7693179
hex27bf6ac6258

2731442725464 has 64 divisors (see below), whose sum is σ = 7291212192000. Its totient is φ = 850641407616.

The previous prime is 2731442725463. The next prime is 2731442725471. The reversal of 2731442725464 is 4645272441372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731442725463) 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 15 ways as a sum of consecutive naturals, for example, 57514239 + ... + 57561710.

It is an arithmetic number, because the mean of its divisors is an integer number (113925190500).

Almost surely, 22731442725464 is an apocalyptic number.

2731442725464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2731442725464 is an abundant number, since it is smaller than the sum of its proper divisors (4559769466536).

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

2731442725464 is a wasteful number, since it uses less digits than its factorization.

2731442725464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115076024 (or 115076020 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 51.

The spelling of 2731442725464 in words is "two trillion, seven hundred thirty-one billion, four hundred forty-two million, seven hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 23736 115075949 230151898 345227847 460303796 690455694 920607592 1380911388 2646746827 2761822776 4948265807 5293493654 7940240481 9896531614 10586987308 14844797421 15880480962 19793063228 21173974616 29689594842 31760961924 39586126456 59379189684 63521923848 113810113561 118758379368 227620227122 341430340683 455240454244 682860681366 910480908488 1365721362732 2731442725464