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213856643070 = 2355789141263
BaseRepresentation
bin1100011100101011011…
…0010110011111111110
3202110000001000002100000
43013022312112133332
512000434300034240
6242124442015130
721310365321210
oct3071266263776
9673001002300
10213856643070
1182772555234
12355441a74a6
1317222016a65
14a4ca51c5b0
155869bdb430
hex31cad967fe

213856643070 has 192 divisors, whose sum is σ = 666404444160. Its totient is φ = 48331945728.

The previous prime is 213856643047. The next prime is 213856643081. The reversal of 213856643070 is 70346658312.

213856643070 is a `hidden beast` number, since 2 + 13 + 8 + 566 + 4 + 3 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 1443259 + ... + 1584521.

It is an arithmetic number, because the mean of its divisors is an integer number (3470856480).

Almost surely, 2213856643070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213856643070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333202222080).

213856643070 is an abundant number, since it is smaller than the sum of its proper divisors (452547801090).

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

213856643070 is a wasteful number, since it uses less digits than its factorization.

213856643070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141381 (or 141369 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 213856643070 in words is "two hundred thirteen billion, eight hundred fifty-six million, six hundred forty-three thousand, seventy".