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13105492687 = 719197349943
BaseRepresentation
bin11000011010010010…
…11111001011001111
31020211100022000020001
430031021133023033
5203320001231222
610004240105131
7642523564330
oct141511371317
936740260201
1013105492687
1156157886a1
1226590051a7
13130b1b9601
148c478a287
1551a83de27
hex30d25f2cf

13105492687 has 16 divisors (see below), whose sum is σ = 15774312960. Its totient is φ = 10636447392.

The previous prime is 13105492669. The next prime is 13105492693. The reversal of 13105492687 is 78629450131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13105492687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105492087) 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, 237438 + ... + 287380.

It is an arithmetic number, because the mean of its divisors is an integer number (985894560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13105492687 = 26210985374, but 3⋅13105492687 = 39316478061 is not.

Almost surely, 213105492687 is an apocalyptic number.

13105492687 is a deficient number, since it is larger than the sum of its proper divisors (2668820273).

13105492687 is a wasteful number, since it uses less digits than its factorization.

13105492687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51942.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 13105492687 in words is "thirteen billion, one hundred five million, four hundred ninety-two thousand, six hundred eighty-seven".

Divisors: 1 7 19 133 1973 13811 37487 49943 262409 349601 948917 6642419 98537539 689762773 1872213241 13105492687