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6476430401 = 72132172049
BaseRepresentation
bin1100000100000011…
…00111110001000001
3121201100112202022122
412002001213301001
5101230431233101
62550352214025
7316330515200
oct60201476101
917640482278
106476430401
11282385a021
121308b3a315
137c29baa4c
144561cb237
1527d89751b
hex182067c41

6476430401 has 6 divisors (see below), whose sum is σ = 7533806850. Its totient is φ = 5551226016.

The previous prime is 6476430391. The next prime is 6476430403. The reversal of 6476430401 is 1040346746.

It can be written as a sum of positive squares in only one way, i.e., 6360222001 + 116208400 = 79751^2 + 10780^2 .

It is not a de Polignac number, because 6476430401 - 214 = 6476414017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6476430403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66085976 + ... + 66086073.

It is an arithmetic number, because the mean of its divisors is an integer number (1255634475).

Almost surely, 26476430401 is an apocalyptic number.

It is an amenable number.

6476430401 is a deficient number, since it is larger than the sum of its proper divisors (1057376449).

6476430401 is a wasteful number, since it uses less digits than its factorization.

6476430401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132172063 (or 132172056 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 6476430401 is about 80476.2722856868. The cubic root of 6476430401 is about 1863.9971081612.

The spelling of 6476430401 in words is "six billion, four hundred seventy-six million, four hundred thirty thousand, four hundred one".

Divisors: 1 7 49 132172049 925204343 6476430401