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12972312436 = 2253445713729
BaseRepresentation
bin11000001010011010…
…11100011101110100
31020111001200202021011
430011031130131310
5203031402444221
65543121402004
7636315556606
oct140515343564
936431622234
1012972312436
115557594376
122620499304
1312b9729425
148b0bdd176
1550dcd31e1
hex30535c774

12972312436 has 24 divisors (see below), whose sum is σ = 23136752520. Its totient is φ = 6361884672.

The previous prime is 12972312403. The next prime is 12972312461. The reversal of 12972312436 is 63421327921.

12972312436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3475809936 + 9496502500 = 58956^2 + 97450^2 .

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, 938020 + ... + 951748.

It is an arithmetic number, because the mean of its divisors is an integer number (964031355).

Almost surely, 212972312436 is an apocalyptic number.

It is an amenable number.

12972312436 is a deficient number, since it is larger than the sum of its proper divisors (10164440084).

12972312436 is a wasteful number, since it uses less digits than its factorization.

12972312436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18241 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The spelling of 12972312436 in words is "twelve billion, nine hundred seventy-two million, three hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 4 53 106 212 4457 8914 13729 17828 27458 54916 236221 472442 727637 944884 1455274 2910548 61190153 122380306 244760612 3243078109 6486156218 12972312436