Search a number
-
+
456110055081 = 3394439178877
BaseRepresentation
bin1101010001100100100…
…01110001111010101001
31121121022002112111111000
412220302101301322221
524433103133230311
6545311205225213
744644555333302
oct6506221617251
91547262474430
10456110055081
1116648726524a
1274492402209
133401b1cb275
141810c18d7a9
15bce78b5056
hex6a32471ea9

456110055081 has 16 divisors (see below), whose sum is σ = 675729532800. Its totient is φ = 304068450384.

The previous prime is 456110055077. The next prime is 456110055083. The reversal of 456110055081 is 180550011654.

456110055081 is a `hidden beast` number, since 4 + 561 + 10 + 0 + 5 + 5 + 0 + 81 = 666.

It is not a de Polignac number, because 456110055081 - 22 = 456110055077 is a prime.

It is a super-2 number, since 2×4561100550812 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456110055083) 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 15 ways as a sum of consecutive naturals, for example, 2460415 + ... + 2639291.

It is an arithmetic number, because the mean of its divisors is an integer number (42233095800).

Almost surely, 2456110055081 is an apocalyptic number.

It is an amenable number.

456110055081 is a deficient number, since it is larger than the sum of its proper divisors (219619477719).

456110055081 is a wasteful number, since it uses less digits than its factorization.

456110055081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273325 (or 273319 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 456110055081 in words is "four hundred fifty-six billion, one hundred ten million, fifty-five thousand, eighty-one".

Divisors: 1 3 9 27 94439 178877 283317 536631 849951 1609893 2549853 4829679 16892965003 50678895009 152036685027 456110055081