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852203255040 = 283558273313
BaseRepresentation
bin11000110011010110100…
…01011011010100000000
310000110200111202212100000
430121223101123110000
5102430303013130130
61451255145200000
7115366251101604
oct14315321332400
93013614685300
10852203255040
112a946557a985
121191b5190000
136249331a4b7
142d36553d504
151727b2e8260
hexc66b45b500

852203255040 has 432 divisors, whose sum is σ = 3062360927808. Its totient is φ = 226910896128.

The previous prime is 852203255027. The next prime is 852203255107. The reversal of 852203255040 is 40552302258.

It is a happy number.

852203255040 is a `hidden beast` number, since 8 + 52 + 20 + 32 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 852203254986 and 852203255004.

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 47 ways as a sum of consecutive naturals, for example, 257228424 + ... + 257231736.

It is an arithmetic number, because the mean of its divisors is an integer number (7088798444).

Almost surely, 2852203255040 is an apocalyptic number.

852203255040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852203255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531180463904).

852203255040 is an abundant number, since it is smaller than the sum of its proper divisors (2210157672768).

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

852203255040 is an equidigital number, since it uses as much as digits as its factorization.

852203255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 852203255040 its reverse (40552302258), we get a palindrome (892755557298).

The spelling of 852203255040 in words is "eight hundred fifty-two billion, two hundred three million, two hundred fifty-five thousand, forty".