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2727960013 = 371633831181
BaseRepresentation
bin1010001010011001…
…0101110111001101
321001010010201122001
42202212111313031
521041324210023
61130405352301
7124413164122
oct24246256715
97033121561
102727960013
11117a953809
12641708691
1334622602c
141bc430749
1510e7596ad
hexa2995dcd

2727960013 has 16 divisors (see below), whose sum is σ = 2828630016. Its totient is φ = 2628832320.

The previous prime is 2727959977. The next prime is 2727960031. The reversal of 2727960013 is 3100697272.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2727960013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2727960043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2309283 + ... + 2310463.

It is an arithmetic number, because the mean of its divisors is an integer number (176789376).

Almost surely, 22727960013 is an apocalyptic number.

It is an amenable number.

2727960013 is a deficient number, since it is larger than the sum of its proper divisors (100670003).

2727960013 is a wasteful number, since it uses less digits than its factorization.

2727960013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 2727960013 is about 52229.8766320580. The cubic root of 2727960013 is about 1397.2667784555.

The spelling of 2727960013 in words is "two billion, seven hundred twenty-seven million, nine hundred sixty thousand, thirteen".

Divisors: 1 37 163 383 1181 6031 14171 43697 62429 192503 452323 2309873 7122611 16735951 73728649 2727960013