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6318960401 = 131728592581
BaseRepresentation
bin1011110001010001…
…11010111100010001
3121022101020110002102
411320220322330101
5100420123213101
62523005130145
7312406164035
oct57050727421
917271213072
106318960401
112752985526
121284259955
137991a4a30
1443d31a1c5
1526eb3e86b
hex178a3af11

6318960401 has 8 divisors (see below), whose sum is σ = 7205330664. Its totient is φ = 5489775360.

The previous prime is 6318960383. The next prime is 6318960517. The reversal of 6318960401 is 1040698136.

It can be written as a sum of positive squares in 4 ways, for example, as 1795725376 + 4523235025 = 42376^2 + 67255^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6318960401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6318960101) 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, 14296070 + ... + 14296511.

It is an arithmetic number, because the mean of its divisors is an integer number (900666333).

Almost surely, 26318960401 is an apocalyptic number.

It is an amenable number.

6318960401 is a deficient number, since it is larger than the sum of its proper divisors (886370263).

6318960401 is a wasteful number, since it uses less digits than its factorization.

6318960401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28592611.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 6318960401 is about 79491.8889006923. Note that the first 3 decimals coincide. The cubic root of 6318960401 is about 1848.7657119687.

The spelling of 6318960401 in words is "six billion, three hundred eighteen million, nine hundred sixty thousand, four hundred one".

Divisors: 1 13 17 221 28592581 371703553 486073877 6318960401