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202013355852 = 2232721129973701
BaseRepresentation
bin1011110000100011101…
…1110010111101001100
3201022102122202202111200
42330020323302331030
511302210404341402
6232445331145500
720411036123100
oct2741073627514
9638378682450
10202013355852
1178745300260
1233199a45290
13160854916b9
149ac5655900
1553c50c421c
hex2f08ef2f4c

202013355852 has 432 divisors, whose sum is σ = 677456226720. Its totient is φ = 50125824000.

The previous prime is 202013355833. The next prime is 202013355857. The reversal of 202013355852 is 258553310202.

202013355852 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 33 + 558 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202013355857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54581602 + ... + 54585302.

It is an arithmetic number, because the mean of its divisors is an integer number (1568185710).

Almost surely, 2202013355852 is an apocalyptic number.

202013355852 is a gapful number since it is divisible by the number (22) 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 202013355852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338728113360).

202013355852 is an abundant number, since it is smaller than the sum of its proper divisors (475442870868).

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

202013355852 is a wasteful number, since it uses less digits than its factorization.

202013355852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 202013355852 in words is "two hundred two billion, thirteen million, three hundred fifty-five thousand, eight hundred fifty-two".