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213139675008 = 273213192233359
BaseRepresentation
bin1100011010000000011…
…1010101011110000000
3202101011001220100001100
43012200013111132000
511443002224100013
6241525350534400
721253541226261
oct3064007253600
9671131810040
10213139675008
1182434876547
1235384067400
13171396162c0
14a45d208968
155826cb6473
hex31a01d5780

213139675008 has 384 divisors, whose sum is σ = 698600448000. Its totient is φ = 61832761344.

The previous prime is 213139674983. The next prime is 213139675037. The reversal of 213139675008 is 800576931312.

213139675008 is a `hidden beast` number, since 2 + 1 + 3 + 139 + 6 + 7 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63451633 + ... + 63454991.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272000).

Almost surely, 2213139675008 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 213139675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349300224000).

213139675008 is an abundant number, since it is smaller than the sum of its proper divisors (485460772992).

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

213139675008 is a wasteful number, since it uses less digits than its factorization.

213139675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 213139675008 in words is "two hundred thirteen billion, one hundred thirty-nine million, six hundred seventy-five thousand, eight".