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213386416533 = 321713110646431
BaseRepresentation
bin1100011010111011010…
…0100101000110010101
3202101210021012002210100
43012232310211012111
511444003410312113
6242010043244313
721262625420313
oct3065664450625
9671707162710
10213386416533
1182551084064
1235432819699
13171787877c4
14a483cb70b3
15583d7a4d73
hex31aed25195

213386416533 has 24 divisors (see below), whose sum is σ = 328846991616. Its totient is φ = 132867446400.

The previous prime is 213386416519. The next prime is 213386416547. The reversal of 213386416533 is 335614683312.

It is a happy number.

213386416533 is a `hidden beast` number, since 2 + 1 + 33 + 86 + 4 + 1 + 6 + 533 = 666.

213386416533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213386416519) and next prime (213386416547).

It is not a de Polignac number, because 213386416533 - 24 = 213386416517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213386416333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5303173 + ... + 5343258.

It is an arithmetic number, because the mean of its divisors is an integer number (13701957984).

Almost surely, 2213386416533 is an apocalyptic number.

It is an amenable number.

213386416533 is a deficient number, since it is larger than the sum of its proper divisors (115460575083).

213386416533 is a wasteful number, since it uses less digits than its factorization.

213386416533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646585 (or 10646582 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 213386416533 in words is "two hundred thirteen billion, three hundred eighty-six million, four hundred sixteen thousand, five hundred thirty-three".

Divisors: 1 3 9 17 51 131 153 393 1179 2227 6681 20043 10646431 31939293 95817879 180989327 542967981 1394682461 1628903943 4184047383 12552142149 23709601837 71128805511 213386416533