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213420644892 = 22327133110120807
BaseRepresentation
bin1100011011000011011…
…1001001101000011100
3202101212122121002021100
43012300313021220130
511444041141114032
6242013305033100
721263522356410
oct3066067115034
9671778532240
10213420644892
1182569432364
1235442185790
13171828b0280
14a488666d40
1558417b697c
hex31b0dc9a1c

213420644892 has 288 divisors, whose sum is σ = 692213243904. Its totient is φ = 53929152000.

The previous prime is 213420644887. The next prime is 213420644939. The reversal of 213420644892 is 298446024312.

213420644892 is a `hidden beast` number, since 213 + 420 + 6 + 4 + 4 + 8 + 9 + 2 = 666.

It is a super-2 number, since 2×2134206448922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10246753 + ... + 10267559.

It is an arithmetic number, because the mean of its divisors is an integer number (2403518208).

Almost surely, 2213420644892 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 213420644892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346106621952).

213420644892 is an abundant number, since it is smaller than the sum of its proper divisors (478792599012).

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

213420644892 is a wasteful number, since it uses less digits than its factorization.

213420644892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20969 (or 20964 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 213420644892 in words is "two hundred thirteen billion, four hundred twenty million, six hundred forty-four thousand, eight hundred ninety-two".