Search a number
-
+
456120235464 = 23382323092357
BaseRepresentation
bin1101010001100101110…
…00100111010111001000
31121121022210200201100020
412220302320213113020
524433113240013324
6545312211340440
744645041013565
oct6506270472710
91547283621306
10456120235464
11166491a88993
12744958b1720
1334020353c6a
141810d67d86c
15bce8726679
hex6a32e275c8

456120235464 has 32 divisors (see below), whose sum is σ = 1141686179520. Its totient is φ = 151855333056.

The previous prime is 456120235463. The next prime is 456120235517. The reversal of 456120235464 is 464532021654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456120235463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11526427 + ... + 11565930.

It is an arithmetic number, because the mean of its divisors is an integer number (35677693110).

Almost surely, 2456120235464 is an apocalyptic number.

It is an amenable number.

456120235464 is an abundant number, since it is smaller than the sum of its proper divisors (685565944056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456120235464 is a wasteful number, since it uses less digits than its factorization.

456120235464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23093189 (or 23093185 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 456120235464 in words is "four hundred fifty-six billion, one hundred twenty million, two hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 823 1646 2469 3292 4938 6584 9876 19752 23092357 46184714 69277071 92369428 138554142 184738856 277108284 554216568 19005009811 38010019622 57015029433 76020039244 114030058866 152040078488 228060117732 456120235464