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6427901813 = 41971616269
BaseRepresentation
bin1011111110010000…
…11111111101110101
3121120222020020121112
411333020133331311
5101131020324223
62541500124405
7315201156344
oct57710377565
917528206545
106427901813
1127a9423853
1212b4836705
137b59292c8
1444d997b5b
152794ad778
hex17f21ff75

6427901813 has 8 divisors (see below), whose sum is σ = 6652567320. Its totient is φ = 6206469120.

The previous prime is 6427901803. The next prime is 6427901819. The reversal of 6427901813 is 3181097246.

It can be written as a sum of positive squares in 4 ways, for example, as 344213809 + 6083688004 = 18553^2 + 77998^2 .

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 6427901813 - 24 = 6427901797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427901819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804158 + ... + 812111.

It is an arithmetic number, because the mean of its divisors is an integer number (831570915).

Almost surely, 26427901813 is an apocalyptic number.

It is an amenable number.

6427901813 is a deficient number, since it is larger than the sum of its proper divisors (224665507).

6427901813 is a wasteful number, since it uses less digits than its factorization.

6427901813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616407.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 6427901813 is about 80174.1966782331. The cubic root of 6427901813 is about 1859.3297208108.

The spelling of 6427901813 in words is "six billion, four hundred twenty-seven million, nine hundred one thousand, eight hundred thirteen".

Divisors: 1 41 97 3977 1616269 66267029 156778093 6427901813