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13007436347 = 196779129341
BaseRepresentation
bin11000001110100110…
…11011101000111011
31020120111210020012202
430013103123220323
5203114400430342
65550414300415
7640223245643
oct140723335073
936514706182
1013007436347
1155753a44a4
1226301b770b
1312c3aa66c9
148b5743523
15511e20332
hex3074dba3b

13007436347 has 16 divisors (see below), whose sum is σ = 14072409600. Its totient is φ = 11985161760.

The previous prime is 13007436319. The next prime is 13007436361. The reversal of 13007436347 is 74363470031.

It is a cyclic number.

It is not a de Polignac number, because 13007436347 - 26 = 13007436283 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13007436347.

It is not an unprimeable number, because it can be changed into a prime (13007436397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35897 + ... + 165237.

It is an arithmetic number, because the mean of its divisors is an integer number (879525600).

Almost surely, 213007436347 is an apocalyptic number.

13007436347 is a deficient number, since it is larger than the sum of its proper divisors (1064973253).

13007436347 is a wasteful number, since it uses less digits than its factorization.

13007436347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129506.

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 13007436347 in words is "thirteen billion, seven million, four hundred thirty-six thousand, three hundred forty-seven".

Divisors: 1 19 67 79 1273 1501 5293 100567 129341 2457479 8665847 10217939 164651093 194140841 684601913 13007436347