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217412334346 = 23371647719577
BaseRepresentation
bin1100101001111011001…
…0001111001100001010
3202210011211122220210111
43022132302033030022
512030230024144341
6243513340504534
721464452231114
oct3123662171412
9683154586714
10217412334346
118422765a769
1236176b4b14a
131766a8820ac
14a7468563b4
1559c6e49681
hex329ec8f30a

217412334346 has 16 divisors (see below), whose sum is σ = 327122771976. Its totient is φ = 108371483136.

The previous prime is 217412334319. The next prime is 217412334353. The reversal of 217412334346 is 643433214712.

217412334346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196005425625 + 21406908721 = 442725^2 + 146311^2 .

It is a junction number, because it is equal to n+sod(n) for n = 217412334299 and 217412334308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11095710 + ... + 11115286.

Almost surely, 2217412334346 is an apocalyptic number.

217412334346 is a deficient number, since it is larger than the sum of its proper divisors (109710437630).

217412334346 is a wasteful number, since it uses less digits than its factorization.

217412334346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36393.

The product of its digits is 290304, while the sum is 40.

The spelling of 217412334346 in words is "two hundred seventeen billion, four hundred twelve million, three hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 337 674 16477 19577 32954 39154 5552749 6597449 11105498 13194898 322570229 645140458 108706167173 217412334346