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2742931201 = 41281238081
BaseRepresentation
bin1010001101111101…
…1100111100000001
321002011022100020111
42203133130330001
521104142244301
61132102311321
7124654346653
oct24337347401
97064270214
102742931201
11118834989a
12646728541
1334936851a
141c040a6d3
15110c15551
hexa37dcf01

2742931201 has 8 divisors (see below), whose sum is σ = 2819843208. Its totient is φ = 2666496000.

The previous prime is 2742931189. The next prime is 2742931231. The reversal of 2742931201 is 1021392472.

It can be written as a sum of positive squares in 4 ways, for example, as 5130225 + 2737800976 = 2265^2 + 52324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2742931201 - 213 = 2742923009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2742931231) 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 7 ways as a sum of consecutive naturals, for example, 107520 + ... + 130561.

It is an arithmetic number, because the mean of its divisors is an integer number (352480401).

Almost surely, 22742931201 is an apocalyptic number.

It is an amenable number.

2742931201 is a deficient number, since it is larger than the sum of its proper divisors (76912007).

2742931201 is a wasteful number, since it uses less digits than its factorization.

2742931201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238403.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2742931201 is about 52373.0006873771. Note that the first 3 decimals coincide. The cubic root of 2742931201 is about 1399.8182078576.

The spelling of 2742931201 in words is "two billion, seven hundred forty-two million, nine hundred thirty-one thousand, two hundred one".

Divisors: 1 41 281 11521 238081 9761321 66900761 2742931201