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216683353506 = 231739711514649
BaseRepresentation
bin1100100111001101010…
…1011001010110100010
3202201022000221212002010
43021303111121112202
512022231414303011
6243313140133350
721440421054414
oct3116325312642
9681260855063
10216683353506
1183993116664
1235bb2997256
1317582836899
14a6b7ad69b4
155982e501a6
hex32735595a2

216683353506 has 64 divisors (see below), whose sum is σ = 460513382400. Its totient is φ = 67734374400.

The previous prime is 216683353493. The next prime is 216683353511. The reversal of 216683353506 is 605353386612.

216683353506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46606270 + ... + 46610918.

It is an arithmetic number, because the mean of its divisors is an integer number (7195521600).

Almost surely, 2216683353506 is an apocalyptic number.

216683353506 is an abundant number, since it is smaller than the sum of its proper divisors (243830028894).

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

216683353506 is a wasteful number, since it uses less digits than its factorization.

216683353506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 216683353506 in words is "two hundred sixteen billion, six hundred eighty-three million, three hundred fifty-three thousand, five hundred six".

Divisors: 1 2 3 6 17 34 51 102 397 794 1151 1191 2302 2382 3453 4649 6749 6906 9298 13498 13947 19567 20247 27894 39134 40494 58701 79033 117402 158066 237099 456947 474198 913894 1370841 1845653 2741682 3691306 5350999 5536959 7768099 10701998 11073918 15536198 16052997 23304297 31376101 32105994 46608594 62752202 90966983 94128303 181933966 188256606 272900949 545801898 2124346603 4248693206 6373039809 12746079618 36113892251 72227784502 108341676753 216683353506