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213433334046 = 23373177730469
BaseRepresentation
bin1100011011000110011…
…1100011100100011110
3202101220112110202112000
43012301213203210132
511444102413142141
6242014441023130
721264035256132
oct3066147434436
9671815422460
10213433334046
1182575609969
1235446484aa6
1317185403b4a
14a48a20b3c2
1558429715b6
hex31b19e391e

213433334046 has 64 divisors (see below), whose sum is σ = 481079860800. Its totient is φ = 70128073728.

The previous prime is 213433334039. The next prime is 213433334057. The reversal of 213433334046 is 640433334312.

213433334046 is a `hidden beast` number, since 213 + 4 + 3 + 3 + 33 + 404 + 6 = 666.

213433334046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213433334046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6989700 + ... + 7020168.

It is an arithmetic number, because the mean of its divisors is an integer number (7516872825).

Almost surely, 2213433334046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213433334046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240539930400).

213433334046 is an abundant number, since it is smaller than the sum of its proper divisors (267646526754).

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

213433334046 is a wasteful number, since it uses less digits than its factorization.

213433334046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32330 (or 32324 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 213433334046 its reverse (640433334312), we get a palindrome (853866668358).

The spelling of 213433334046 in words is "two hundred thirteen billion, four hundred thirty-three million, three hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1777 1971 3554 3942 5331 10662 15993 30469 31986 47979 60938 91407 95958 129721 182814 259442 274221 389163 548442 778326 822663 1167489 1645326 2224237 2334978 3502467 4448474 6672711 7004934 13345422 20018133 40036266 54143413 60054399 108286826 120108798 162430239 324860478 487290717 974581434 1461872151 2923744302 3952469149 7904938298 11857407447 23714814894 35572222341 71144444682 106716667023 213433334046