Search a number
-
+
456391320030 = 23255071014667
BaseRepresentation
bin1101010010000110000…
…10101110000111011110
31121122000200210020110100
412221003002232013132
524434142134220110
6545355133521530
744654542132602
oct6510302560736
91548020706410
10456391320030
11166611002818
12745506432a6
1334064569629
1418137687502
15bd12422bc0
hex6a430ae1de

456391320030 has 24 divisors (see below), whose sum is σ = 1186617432312. Its totient is φ = 121704351984.

The previous prime is 456391320001. The next prime is 456391320037. The reversal of 456391320030 is 30023193654.

It is a happy number.

456391320030 is a `hidden beast` number, since 4 + 5 + 639 + 13 + 2 + 0 + 0 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456391320037) 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 11 ways as a sum of consecutive naturals, for example, 2535507244 + ... + 2535507423.

It is an arithmetic number, because the mean of its divisors is an integer number (49442393013).

Almost surely, 2456391320030 is an apocalyptic number.

456391320030 is an abundant number, since it is smaller than the sum of its proper divisors (730226112282).

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

456391320030 is a wasteful number, since it uses less digits than its factorization.

456391320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071014680 (or 5071014677 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 456391320030 in words is "four hundred fifty-six billion, three hundred ninety-one million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5071014667 10142029334 15213044001 25355073335 30426088002 45639132003 50710146670 76065220005 91278264006 152130440010 228195660015 456391320030