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12442545351 = 34839183089
BaseRepresentation
bin10111001011010001…
…00010110011000111
31012010010211210110000
423211220202303013
5200440242422401
65414354532343
7620223614265
oct134550426307
935103753400
1012442545351
115305546535
1224b2b970b3
131233a51392
148606d9435
154cc53a186
hex2e5a22cc7

12442545351 has 20 divisors (see below), whose sum is σ = 18609267600. Its totient is φ = 8285098176.

The previous prime is 12442545331. The next prime is 12442545377. The reversal of 12442545351 is 15354524421.

12442545351 is a `hidden beast` number, since 1 + 24 + 42 + 545 + 3 + 51 = 666.

12442545351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12442545351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442545331) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23586 + ... + 159503.

It is an arithmetic number, because the mean of its divisors is an integer number (930463380).

Almost surely, 212442545351 is an apocalyptic number.

12442545351 is a deficient number, since it is larger than the sum of its proper divisors (6166722249).

12442545351 is an equidigital number, since it uses as much as digits as its factorization.

12442545351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183940 (or 183931 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 12442545351 in words is "twelve billion, four hundred forty-two million, five hundred forty-five thousand, three hundred fifty-one".

Divisors: 1 3 9 27 81 839 2517 7551 22653 67959 183089 549267 1647801 4943403 14830209 153611671 460835013 1382505039 4147515117 12442545351