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213478686216 = 233767269677
BaseRepresentation
bin1100011011010001010…
…0100011111000001000
3202102000200210220000000
43012310110203320020
511444201020424331
6242023141043000
721265125615165
oct3066424437010
9672020726000
10213478686216
11825991756a4
12354596b6460
1317191922853
14a49225506c
15584692e0e6
hex31b4523e08

213478686216 has 256 divisors, whose sum is σ = 612445536000. Its totient is φ = 69733737216.

The previous prime is 213478686191. The next prime is 213478686241. The reversal of 213478686216 is 612686874312.

It is a happy number.

213478686216 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 7 + 8 + 6 + 8 + 621 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (213478686191) and next prime (213478686241).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315330070 + ... + 315330746.

It is an arithmetic number, because the mean of its divisors is an integer number (2392365375).

Almost surely, 2213478686216 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 213478686216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306222768000).

213478686216 is an abundant number, since it is smaller than the sum of its proper divisors (398966849784).

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

213478686216 is an equidigital number, since it uses as much as digits as its factorization.

213478686216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1018 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 213478686216 in words is "two hundred thirteen billion, four hundred seventy-eight million, six hundred eighty-six thousand, two hundred sixteen".