Search a number
-
+
216666356652 = 223410117413803
BaseRepresentation
bin1100100111001001010…
…0100011101110101100
3202201020211222022210000
43021302110203232230
512022213041403102
6243311331544300
721440123434044
oct3116224435654
9681224868700
10216666356652
1183984567679
1235ba915b090
131757c165385
14a6b5750724
1559816e401c
hex3272523bac

216666356652 has 120 divisors (see below), whose sum is σ = 572495715792. Its totient is φ = 71447184000.

The previous prime is 216666356623. The next prime is 216666356713. The reversal of 216666356652 is 256653666612.

216666356652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 39 ways as a sum of consecutive naturals, for example, 56970583 + ... + 56974385.

Almost surely, 2216666356652 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 216666356652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286247857896).

216666356652 is an abundant number, since it is smaller than the sum of its proper divisors (355829359140).

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

216666356652 is a wasteful number, since it uses less digits than its factorization.

216666356652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5650 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 216666356652 in words is "two hundred sixteen billion, six hundred sixty-six million, three hundred fifty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1741 1818 2727 3482 3636 3803 5223 5454 6964 7606 8181 10446 10908 11409 15212 15669 16362 20892 22818 31338 32724 34227 45636 47007 62676 68454 94014 102681 136908 141021 175841 188028 205362 282042 308043 351682 384103 410724 527523 564084 616086 703364 768206 1055046 1152309 1232172 1536412 1582569 2110092 2304618 3165138 3456927 4609236 4747707 6330276 6621023 6913854 9495414 10370781 13242046 13827708 14243121 18990828 19863069 20741562 26484092 28486242 31112343 39726138 41483124 56972484 59589207 62224686 79452276 119178414 124449372 178767621 238356828 357535242 536302863 668723323 715070484 1072605726 1337446646 2006169969 2145211452 2674893292 4012339938 6018509907 8024679876 12037019814 18055529721 24074039628 36111059442 54166589163 72222118884 108333178326 216666356652