Search a number
-
+
216266642435616 = 25310987631235849
BaseRepresentation
bin110001001011000110000000…
…011001100010111000100000
31001100201220000011012001012120
4301023012000121202320200
5211321303040430414431
62043543305102224240
763360515002543443
oct6113060031427040
91040656004161176
10216266642435616
1162a00193660193
1220309b10b85080
139389b1a7251c6
143b5950b75765a
151a008d1d7b196
hexc4b180662e20

216266642435616 has 96 divisors (see below), whose sum is σ = 572917159584000. Its totient is φ = 71426396989440.

The previous prime is 216266642435603. The next prime is 216266642435621. The reversal of 216266642435616 is 616534246662612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 216266642435616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916852860 + ... + 917088708.

It is an arithmetic number, because the mean of its divisors is an integer number (5967887079000).

Almost surely, 2216266642435616 is an apocalyptic number.

It is an amenable number.

216266642435616 is an abundant number, since it is smaller than the sum of its proper divisors (356650517148384).

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

216266642435616 is a wasteful number, since it uses less digits than its factorization.

216266642435616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323602 (or 323594 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 60.

The spelling of 216266642435616 in words is "two hundred sixteen trillion, two hundred sixty-six billion, six hundred forty-two million, four hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 87631 175262 235849 262893 350524 471698 525786 701048 707547 943396 1051572 1402096 1415094 1886792 2103144 2804192 2830188 3773584 4206288 5660376 7547168 8412576 9551779 11320752 19103558 22641504 25707541 28655337 38207116 51415082 57310674 76414232 77122623 102830164 114621348 152828464 154245246 205660328 229242696 305656928 308490492 411320656 458485392 616980984 822641312 916970784 1233961968 2467923936 20667683719 41335367438 62003051157 82670734876 124006102314 165341469752 248012204628 330682939504 496024409256 661365879008 992048818512 1984097637024 2252777525371 4505555050742 6758332576113 9011110101484 13516665152226 18022220202968 27033330304452 36044440405936 54066660608904 72088880811872 108133321217808 216266642435616