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855022249824 = 253294331722531
BaseRepresentation
bin11000111000100110100…
…11000010011101100000
310000201221222012122012020
430130103103002131200
5103002041143443244
61452443010101440
7115526151131361
oct14342323023540
93021858178166
10855022249824
112aa681851436
1211986127a880
1362822368452
142d551aa9b68
1517393a35d19
hexc7134c2760

855022249824 has 192 divisors, whose sum is σ = 2383424144640. Its totient is φ = 267920271360.

The previous prime is 855022249777. The next prime is 855022249831. The reversal of 855022249824 is 428942220558.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37937439 + ... + 37959969.

It is an arithmetic number, because the mean of its divisors is an integer number (12413667420).

Almost surely, 2855022249824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855022249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191712072320).

855022249824 is an abundant number, since it is smaller than the sum of its proper divisors (1528401894816).

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

855022249824 is a wasteful number, since it uses less digits than its factorization.

855022249824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22933 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 855022249824 in words is "eight hundred fifty-five billion, twenty-two million, two hundred forty-nine thousand, eight hundred twenty-four".