Search a number
-
+
36216966318 = 23131928386353
BaseRepresentation
bin100001101110101100…
…110000110010101110
310110111000121111212220
4201232230300302232
51043133020410233
624345435140210
72421330064041
oct415654606256
9113430544786
1036216966318
11143a5595925
127028ba4666
1335523a87b0
141a77db4c58
15e1e81ceb3
hex86eb30cae

36216966318 has 64 divisors (see below), whose sum is σ = 82402440960. Its totient is φ = 10519746048.

The previous prime is 36216966293. The next prime is 36216966319. The reversal of 36216966318 is 81366961263.

It is a happy number.

36216966318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36216966319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376230 + ... + 462582.

It is an arithmetic number, because the mean of its divisors is an integer number (1287538140).

Almost surely, 236216966318 is an apocalyptic number.

36216966318 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36216966318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41201220480).

36216966318 is an abundant number, since it is smaller than the sum of its proper divisors (46185474642).

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

36216966318 is a wasteful number, since it uses less digits than its factorization.

36216966318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86673.

The product of its digits is 1679616, while the sum is 51.

The spelling of 36216966318 in words is "thirty-six billion, two hundred sixteen million, nine hundred sixty-six thousand, three hundred eighteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 283 494 566 741 849 1482 1698 3679 5377 7358 10754 11037 16131 22074 32262 69901 86353 139802 172706 209703 259059 419406 518118 1122589 1640707 2245178 3281414 3367767 4922121 6735534 9844242 21329191 24437899 42658382 48875798 63987573 73313697 127975146 146627394 317692687 464320081 635385374 928640162 953078061 1392960243 1906156122 2785920486 6036161053 12072322106 18108483159 36216966318