Search a number
-
+
11456644455 = 35573129169
BaseRepresentation
bin10101010101101111…
…01000010101100111
31002120102200211200000
422222313220111213
5141430400110310
65132455352343
7553622604534
oct125267502547
932512624600
1011456644455
114949a82603
1222789826b3
13110770c779
147a97bbd8b
15470be14c0
hex2aade8567

11456644455 has 48 divisors (see below), whose sum is σ = 20875938720. Its totient is φ = 6026462208.

The previous prime is 11456644447. The next prime is 11456644469. The reversal of 11456644455 is 55444665411.

11456644455 is a `hidden beast` number, since 1 + 1 + 4 + 566 + 44 + 45 + 5 = 666.

It is not a de Polignac number, because 11456644455 - 23 = 11456644447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11456644455.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24111 + ... + 153279.

It is an arithmetic number, because the mean of its divisors is an integer number (434915390).

Almost surely, 211456644455 is an apocalyptic number.

11456644455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11456644455 is a deficient number, since it is larger than the sum of its proper divisors (9419294265).

11456644455 is an equidigital number, since it uses as much as digits as its factorization.

11456644455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129262 (or 129250 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 11456644455 in words is "eleven billion, four hundred fifty-six million, six hundred forty-four thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 73 81 135 219 243 365 405 657 1095 1215 1971 3285 5913 9855 17739 29565 88695 129169 387507 645845 1162521 1937535 3487563 5812605 9429337 10462689 17437815 28288011 31388067 47146685 52313445 84864033 141440055 156940335 254592099 424320165 763776297 1272960495 2291328891 3818881485 11456644455