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13161807167 = 171941993869
BaseRepresentation
bin11000100001000000…
…10011110100111111
31020222021021002011112
430100200103310333
5203423410312132
610014011112235
7644106341435
oct142040236477
936867232145
1013161807167
115644551593
122673a4267b
131319a75ba2
148cc048d55
15520764ab2
hex310813d3f

13161807167 has 16 divisors (see below), whose sum is σ = 15027314400. Its totient is φ = 11449359360.

The previous prime is 13161807149. The next prime is 13161807173. The reversal of 13161807167 is 76170816131.

It is a cyclic number.

It is not a de Polignac number, because 13161807167 - 222 = 13157612863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161807107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483692 + ... + 510177.

It is an arithmetic number, because the mean of its divisors is an integer number (939207150).

Almost surely, 213161807167 is an apocalyptic number.

13161807167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13161807167 is a deficient number, since it is larger than the sum of its proper divisors (1865507233).

13161807167 is a wasteful number, since it uses less digits than its factorization.

13161807167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993946.

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 13161807167 in words is "thirteen billion, one hundred sixty-one million, eight hundred seven thousand, one hundred sixty-seven".

Divisors: 1 17 19 41 323 697 779 13243 993869 16895773 18883511 40748629 321019687 692726693 774223951 13161807167