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213299155872 = 2535118592903
BaseRepresentation
bin1100011010100110011…
…1101101001110100000
3202101120011222210200000
43012221213231032200
511443314040441442
6241553245100000
721260515624125
oct3065147551640
9671504883600
10213299155872
11825068a3910
1235409557600
131716368468a
14a47648074c
155835cb9d4c
hex31a99ed3a0

213299155872 has 288 divisors, whose sum is σ = 687255528960. Its totient is φ = 64538622720.

The previous prime is 213299155819. The next prime is 213299155877. The reversal of 213299155872 is 278551992312.

213299155872 is a `hidden beast` number, since 2 + 13 + 2 + 9 + 9 + 1 + 558 + 72 = 666.

213299155872 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (213299155877) 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 47 ways as a sum of consecutive naturals, for example, 73473973 + ... + 73476875.

It is an arithmetic number, because the mean of its divisors is an integer number (2386303920).

Almost surely, 2213299155872 is an apocalyptic number.

213299155872 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 213299155872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343627764480).

213299155872 is an abundant number, since it is smaller than the sum of its proper divisors (473956373088).

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

213299155872 is a wasteful number, since it uses less digits than its factorization.

213299155872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3778 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 213299155872 in words is "two hundred thirteen billion, two hundred ninety-nine million, one hundred fifty-five thousand, eight hundred seventy-two".