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213311489236992 = 213337127674909
BaseRepresentation
bin110000100000000101110011…
…100010101110000000000000
31000222021101020110002022211000
4300200011303202232000000
5210424343412221040432
62033401540105252000
762634150362033406
oct6040056342560000
91028241213068730
10213311489236992
1161a70992723123
121bb11242194000
139204258157683
143a9648ca11476
15199dac48b357c
hexc201738ae000

213311489236992 has 448 divisors, whose sum is σ = 641259034675200. Its totient is φ = 70062756986880.

The previous prime is 213311489236957. The next prime is 213311489236997. The reversal of 213311489236992 is 299632984113312.

213311489236992 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 1 + 489 + 2 + 3 + 69 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311489236997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43453142634 + ... + 43453147542.

Almost surely, 2213311489236992 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 213311489236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320629517337600).

213311489236992 is an abundant number, since it is smaller than the sum of its proper divisors (427947545438208).

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

213311489236992 is an equidigital number, since it uses as much as digits as its factorization.

213311489236992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7752 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 213311489236992 in words is "two hundred thirteen trillion, three hundred eleven billion, four hundred eighty-nine million, two hundred thirty-six thousand, nine hundred ninety-two".