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216743319234 = 23313312198927
BaseRepresentation
bin1100100111011011101…
…0001001011011000010
3202201110012210102121000
43021312322021123002
512022342242203414
6243323121312430
721442046546541
oct3116672113302
9681405712530
10216743319234
1183a13a53812
123600aa95716
13175920a1070
14a6c1a66158
155988347b09
hex3276e896c2

216743319234 has 64 divisors (see below), whose sum is σ = 518873402880. Its totient is φ = 66668209920.

The previous prime is 216743319227. The next prime is 216743319241. The reversal of 216743319234 is 432913347612.

216743319234 is a `hidden beast` number, since 2 + 1 + 67 + 43 + 319 + 234 = 666.

216743319234 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 (216743319227) and next prime (216743319241).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216743319234.

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 31 ways as a sum of consecutive naturals, for example, 2141479 + ... + 2240405.

It is an arithmetic number, because the mean of its divisors is an integer number (8107396920).

Almost surely, 2216743319234 is an apocalyptic number.

216743319234 is an abundant number, since it is smaller than the sum of its proper divisors (302130083646).

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

216743319234 is a wasteful number, since it uses less digits than its factorization.

216743319234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102072 (or 102066 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 216743319234 in words is "two hundred sixteen billion, seven hundred forty-three million, three hundred nineteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 3121 6242 9363 18726 28089 40573 56178 81146 84267 98927 121719 168534 197854 243438 296781 365157 593562 730314 890343 1095471 1286051 1780686 2190942 2572102 2671029 3858153 5342058 7716306 11574459 23148918 34723377 69446754 308751167 617502334 926253501 1852507002 2778760503 4013765171 5557521006 8027530342 8336281509 12041295513 16672563018 24082591026 36123886539 72247773078 108371659617 216743319234