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200738882520 = 23325111729310177
BaseRepresentation
bin1011101011110011111…
…0000100001111011000
3201012010211121210202200
42322330332010033120
511242103123220040
6232115042530200
720334332230311
oct2727476041730
9635124553680
10200738882520
1178150958610
1232aa3066960
1315c11423577
149a0429b608
15534d277630
hex2ebcf843d8

200738882520 has 384 divisors, whose sum is σ = 756222143040. Its totient is φ = 45640581120.

The previous prime is 200738882507. The next prime is 200738882521. The reversal of 200738882520 is 25288837002.

200738882520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200738882521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19719672 + ... + 19729848.

Almost surely, 2200738882520 is an apocalyptic number.

200738882520 is a gapful number since it is divisible by the number (20) 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 200738882520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378111071520).

200738882520 is an abundant number, since it is smaller than the sum of its proper divisors (555483260520).

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

200738882520 is a wasteful number, since it uses less digits than its factorization.

200738882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 200738882520 in words is "two hundred billion, seven hundred thirty-eight million, eight hundred eighty-two thousand, five hundred twenty".