Search a number
-
+
552855558255 = 357311132337883
BaseRepresentation
bin10000000101110001100…
…00100101100001101111
31221212000110021021101020
420002320300211201233
533024222010331010
61101551153145223
754641163465000
oct10027060454157
91855013237336
10552855558255
111a3512605750
128b19225b213
134019869b030
141ca88cbb1a7
15e5ab039470
hex80b8c2586f

552855558255 has 512 divisors, whose sum is σ = 1300252262400. Its totient is φ = 197157058560.

The previous prime is 552855558251. The next prime is 552855558257.

552855558255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552855558255 - 22 = 552855558251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552855558251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 626110044 + ... + 626110926.

It is an arithmetic number, because the mean of its divisors is an integer number (2539555200).

Almost surely, 2552855558255 is an apocalyptic number.

552855558255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552855558255 is an abundant number, since it is smaller than the sum of its proper divisors (747396704145).

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

552855558255 is a wasteful number, since it uses less digits than its factorization.

552855558255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its digits is 100000000, while the sum is 60.

The spelling of 552855558255 in words is "five hundred fifty-two billion, eight hundred fifty-five million, five hundred fifty-eight thousand, two hundred fifty-five".