Search a number
-
+
456400460663 = 7193431582411
BaseRepresentation
bin1101010010000111001…
…01100101101101110111
31121122001022222122001022
412221003211211231313
524434202004220123
6545400101451355
744655012622640
oct6510345455567
91548038878038
10456400460663
11166616186264
1274553710b5b
1334066419ca4
14181389866c7
15bd1312b1c8
hex6a43965b77

456400460663 has 8 divisors (see below), whose sum is σ = 549053185920. Its totient is φ = 370610900280.

The previous prime is 456400460627. The next prime is 456400460669. The reversal of 456400460663 is 366064004654.

It is a happy number.

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 456400460663 - 220 = 456399412087 is a prime.

It is a super-2 number, since 2×4564004606632 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456400460669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715791073 + ... + 1715791338.

It is an arithmetic number, because the mean of its divisors is an integer number (68631648240).

Almost surely, 2456400460663 is an apocalyptic number.

456400460663 is a deficient number, since it is larger than the sum of its proper divisors (92652725257).

456400460663 is a wasteful number, since it uses less digits than its factorization.

456400460663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431582437.

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 456400460663 in words is "four hundred fifty-six billion, four hundred million, four hundred sixty thousand, six hundred sixty-three".

Divisors: 1 7 19 133 3431582411 24021076877 65200065809 456400460663