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1311748164 = 223236437449
BaseRepresentation
bin100111000101111…
…1011000001000100
310101102021201012100
41032023323001010
510141301420124
6334055152100
744335450446
oct11613730104
93342251170
101311748164
116134a18a1
12307375630
1317b9bc45c
14c62dc496
157a2611c9
hex4e2fb044

1311748164 has 18 divisors (see below), whose sum is σ = 3315807950. Its totient is φ = 437249376.

The previous prime is 1311748159. The next prime is 1311748189. The reversal of 1311748164 is 4618471131.

1311748164 is a `hidden beast` number, since 1 + 3 + 117 + 481 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1278777600 + 32970564 = 35760^2 + 5742^2 .

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

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: 36437449 = 1311748164 / (1 + 3 + 1 + 1 + 7 + 4 + 8 + 1 + 6 + 4).

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, 18218689 + ... + 18218760.

Almost surely, 21311748164 is an apocalyptic number.

It is an amenable number.

1311748164 is an abundant number, since it is smaller than the sum of its proper divisors (2004059786).

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

1311748164 is a wasteful number, since it uses less digits than its factorization.

1311748164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36437459 (or 36437454 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1311748164 is about 36218.0640564898. The cubic root of 1311748164 is about 1094.6706859837.

The spelling of 1311748164 in words is "one billion, three hundred eleven million, seven hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 36437449 72874898 109312347 145749796 218624694 327937041 437249388 655874082 1311748164