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13171977972 = 223440654253
BaseRepresentation
bin11000100010001110…
…00110111011110100
31020222222101210220000
430101013012323310
5203434011243342
610015013111300
7644261652066
oct142107067364
936888353800
1013171977972
11564a26900a
122677328530
13131bbc740a
148cd535736
155215c344c
hex3111c6ef4

13171977972 has 30 divisors (see below), whose sum is σ = 34434153138. Its totient is φ = 4390659216.

The previous prime is 13171977953. The next prime is 13171977983. The reversal of 13171977972 is 27977917131.

13171977972 is a `hidden beast` number, since 1 + 317 + 197 + 79 + 72 = 666.

13171977972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10608176016 + 2563801956 = 102996^2 + 50634^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 20326803 + ... + 20327450.

Almost surely, 213171977972 is an apocalyptic number.

13171977972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13171977972 is an abundant number, since it is smaller than the sum of its proper divisors (21262175166).

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

13171977972 is a wasteful number, since it uses less digits than its factorization.

13171977972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40654269 (or 40654258 counting only the distinct ones).

The product of its digits is 1166886, while the sum is 54.

The spelling of 13171977972 in words is "thirteen billion, one hundred seventy-one million, nine hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40654253 81308506 121962759 162617012 243925518 365888277 487851036 731776554 1097664831 1463553108 2195329662 3292994493 4390659324 6585988986 13171977972