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255441464144552 = 23716727314100101
BaseRepresentation
bin111010000101001010011001…
…101110110011001010101000
31020111102222001211120121100202
4322011022121232303022220
5231440123104310111202
62303140104424051332
7104543015416103660
oct7205123156631250
91214388054517322
10255441464144552
1174434131189854
1224796325603b48
13ac6c0468b3a0a
14471160b9931a0
151e7e943116802
hexe85299bb32a8

255441464144552 has 32 divisors (see below), whose sum is σ = 550652258056320. Its totient is φ = 108819374798400.

The previous prime is 255441464144527. The next prime is 255441464144623.

255441464144552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13657040699 + ... + 13657059402.

It is an arithmetic number, because the mean of its divisors is an integer number (17207883064260).

Almost surely, 2255441464144552 is an apocalyptic number.

It is an amenable number.

255441464144552 is an abundant number, since it is smaller than the sum of its proper divisors (295210793911768).

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

255441464144552 is a wasteful number, since it uses less digits than its factorization.

255441464144552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27314100281 (or 27314100277 counting only the distinct ones).

The product of its digits is 61440000, while the sum is 56.

The spelling of 255441464144552 in words is "two hundred fifty-five trillion, four hundred forty-one billion, four hundred sixty-four million, one hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 167 334 668 1169 1336 2338 4676 9352 27314100101 54628200202 109256400404 191198700707 218512800808 382397401414 764794802828 1529589605656 4561454716867 9122909433734 18245818867468 31930183018069 36491637734936 63860366036138 127720732072276 255441464144552