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12634761743 = 175314719533
BaseRepresentation
bin10111100010001011…
…10010101000001111
31012121112112101202122
423301011302220033
5201333444333433
65445422443155
7625046463032
oct136105625017
935545471678
1012634761743
1153a3aa255a
1225474334bb
1312648118a6
1487c053019
154de358198
hex2f1172a0f

12634761743 has 16 divisors (see below), whose sum is σ = 13641094656. Its totient is φ = 11658017280.

The previous prime is 12634761707. The next prime is 12634761749. The reversal of 12634761743 is 34716743621.

It is a happy number.

12634761743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12634761743 - 220 = 12633713167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12634761694 and 12634761703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12634761749) 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 15 ways as a sum of consecutive naturals, for example, 1320605 + ... + 1330137.

It is an arithmetic number, because the mean of its divisors is an integer number (852568416).

Almost surely, 212634761743 is an apocalyptic number.

12634761743 is a deficient number, since it is larger than the sum of its proper divisors (1006332913).

12634761743 is a wasteful number, since it uses less digits than its factorization.

12634761743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074.

The product of its digits is 508032, while the sum is 44.

The spelling of 12634761743 in words is "twelve billion, six hundred thirty-four million, seven hundred sixty-one thousand, seven hundred forty-three".

Divisors: 1 17 53 901 1471 9533 25007 77963 162061 505249 1325371 8589233 14023043 238391731 743221279 12634761743