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13180136436 = 2232366114901
BaseRepresentation
bin11000100011001100…
…01110101111110100
31021000112202022012100
430101212032233310
5203443103331221
610015504022100
7644421211515
oct142146165764
937015668170
1013180136436
115653930645
12267a001930
1313207c29cc
148d065aa0c
15522185926
hex31198ebf4

13180136436 has 18 divisors (see below), whose sum is σ = 33316456082. Its totient is φ = 4393378800.

The previous prime is 13180136423. The next prime is 13180136461. The reversal of 13180136436 is 63463108131.

13180136436 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 0 + 1 + 3 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12994632036 + 185504400 = 113994^2 + 13620^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 366114901 = 13180136436 / (1 + 3 + 1 + 8 + 0 + 1 + 3 + 6 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 13180136436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183057415 + ... + 183057486.

Almost surely, 213180136436 is an apocalyptic number.

It is an amenable number.

13180136436 is an abundant number, since it is smaller than the sum of its proper divisors (20136319646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13180136436 is a wasteful number, since it uses less digits than its factorization.

13180136436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366114911 (or 366114906 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13180136436 in words is "thirteen billion, one hundred eighty million, one hundred thirty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 366114901 732229802 1098344703 1464459604 2196689406 3295034109 4393378812 6590068218 13180136436