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12057721144 = 237488944041
BaseRepresentation
bin10110011101011001…
…00011100100111000
31011010022201200212121
423032230203210320
5144143234034034
65312250451024
7604541636650
oct131654434470
934108650777
1012057721144
1151282a63a7
122406133a74
1311a20c4451
14825565360
154a88731b4
hex2ceb23938

12057721144 has 32 divisors (see below), whose sum is σ = 25843845600. Its totient is φ = 5166420480.

The previous prime is 12057721139. The next prime is 12057721177. The reversal of 12057721144 is 44112775021.

12057721144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 251764 + ... + 295804.

It is an arithmetic number, because the mean of its divisors is an integer number (807620175).

Almost surely, 212057721144 is an apocalyptic number.

12057721144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12057721144 is an abundant number, since it is smaller than the sum of its proper divisors (13786124456).

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

12057721144 is a wasteful number, since it uses less digits than its factorization.

12057721144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48943 (or 48939 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The spelling of 12057721144 in words is "twelve billion, fifty-seven million, seven hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 4889 9778 19556 34223 39112 44041 68446 88082 136892 176164 273784 308287 352328 616574 1233148 2466296 215316449 430632898 861265796 1507215143 1722531592 3014430286 6028860572 12057721144