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200616841152 = 263372131771151
BaseRepresentation
bin1011101011010110110…
…0100000111111000000
3201011211022222110111000
42322311230200333000
511241330402404102
6232055003052000
720331321004500
oct2726554407700
9634738873430
10200616841152
1178098a82082
1232a6a211000
1315bc2063440
1499d1dada00
1553426bc01c
hex2eb5b20fc0

200616841152 has 1344 divisors, whose sum is σ = 798574049280. Its totient is φ = 48771072000.

The previous prime is 200616841141. The next prime is 200616841157. The reversal of 200616841152 is 251148616002.

It is a happy number.

200616841152 is a `hidden beast` number, since 20 + 0 + 616 + 8 + 4 + 1 + 15 + 2 = 666.

200616841152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200616841157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1328588277 + ... + 1328588427.

It is an arithmetic number, because the mean of its divisors is an integer number (594177120).

Almost surely, 2200616841152 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 200616841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399287024640).

200616841152 is an abundant number, since it is smaller than the sum of its proper divisors (597957208128).

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

200616841152 is a wasteful number, since it uses less digits than its factorization.

200616841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 200616841152 in words is "two hundred billion, six hundred sixteen million, eight hundred forty-one thousand, one hundred fifty-two".