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213994357304 = 237133147229881
BaseRepresentation
bin1100011101001100001…
…1101100001000111000
3202110100122010200202012
43013103003230020320
512001230023413204
6242150241425052
721313660011350
oct3072303541070
9673318120665
10213994357304
1182833265a52
123558233b188
1317244703880
14a500929b60
155876d4076e
hex31d30ec238

213994357304 has 256 divisors, whose sum is σ = 523476172800. Its totient is φ = 79742361600.

The previous prime is 213994357289. The next prime is 213994357321. The reversal of 213994357304 is 403753499312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242898944 + ... + 242899824.

It is an arithmetic number, because the mean of its divisors is an integer number (2044828800).

Almost surely, 2213994357304 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 213994357304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261738086400).

213994357304 is an abundant number, since it is smaller than the sum of its proper divisors (309481815496).

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

213994357304 is a wasteful number, since it uses less digits than its factorization.

213994357304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 213994357304 in words is "two hundred thirteen billion, nine hundred ninety-four million, three hundred fifty-seven thousand, three hundred four".