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209869393812 = 223132838535573
BaseRepresentation
bin1100001101110100110…
…0001100111110010100
3202001201011021211121120
43003131030030332110
511414303031100222
6240225045243540
721106521261621
oct3033514147624
9661634254546
10209869393812
118100688a911
1234810a035b0
1316a37c3ac80
14a22cb67348
1556d4b3415c
hex30dd30cf94

209869393812 has 96 divisors (see below), whose sum is σ = 529943100288. Its totient is φ = 64260048384.

The previous prime is 209869393807. The next prime is 209869393813. The reversal of 209869393812 is 218393968902.

209869393812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209869393813) by changing a digit.

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, 37655458 + ... + 37661030.

It is an arithmetic number, because the mean of its divisors is an integer number (5520240628).

Almost surely, 2209869393812 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 209869393812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264971550144).

209869393812 is an abundant number, since it is smaller than the sum of its proper divisors (320073706476).

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

209869393812 is a wasteful number, since it uses less digits than its factorization.

209869393812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 209869393812 in words is "two hundred nine billion, eight hundred sixty-nine million, three hundred ninety-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 566 849 853 1132 1698 1706 2559 3396 3412 3679 5118 5573 7358 10236 11037 11089 11146 14716 16719 22074 22178 22292 33267 33438 44148 44356 66534 66876 72449 133068 144898 217347 241399 289796 434694 482798 724197 869388 965596 1448394 1577159 2896788 3138187 3154318 4731477 4753769 6276374 6308636 9414561 9462954 9507538 12552748 14261307 18829122 18925908 19015076 20503067 28522614 37658244 41006134 57045228 61509201 61798997 82012268 123018402 123597994 185396991 246036804 247195988 370793982 741587964 1345316627 2690633254 4035949881 5381266508 8071899762 16143799524 17489116151 34978232302 52467348453 69956464604 104934696906 209869393812