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213662020968 = 23361117231933
BaseRepresentation
bin1100011011111100111…
…1111011010101101000
3202102111110210021000000
43012333033323111220
512000034434132333
6242053250343000
721302513132634
oct3067717732550
9672443707000
10213662020968
1182682705820
12354aab8aa60
13171c08c3556
14a4ac739dc4
155857a95713
hex31bf3fb568

213662020968 has 224 divisors, whose sum is σ = 655973655840. Its totient is φ = 64675013760.

The previous prime is 213662020961. The next prime is 213662020973. The reversal of 213662020968 is 869020266312.

213662020968 is a `hidden beast` number, since 2 + 1 + 366 + 20 + 209 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (213662020961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 110532930 + ... + 110534862.

Almost surely, 2213662020968 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 213662020968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327986827920).

213662020968 is an abundant number, since it is smaller than the sum of its proper divisors (442311634872).

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

213662020968 is a wasteful number, since it uses less digits than its factorization.

213662020968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 213662020968 in words is "two hundred thirteen billion, six hundred sixty-two million, twenty thousand, nine hundred sixty-eight".