Search a number
-
+
36446330220102 = 23311213740714969
BaseRepresentation
bin10000100100101110100101…
…00100001110111001000110
311210001020100102021201101000
420102113102210032321012
514234114041014020402
6205303113555514130
710451106016233405
oct1022272244167106
9153036312251330
1036446330220102
1110681890289a00
1241076622b8946
131744b497a76aa
1490002451763c
154330bcc57c1c
hex2125d290ee46

36446330220102 has 96 divisors (see below), whose sum is σ = 89673907125600. Its totient is φ = 10963726583040.

The previous prime is 36446330220017. The next prime is 36446330220161. The reversal of 36446330220102 is 20102203364463.

36446330220102 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 633 + 0 + 2 + 2 + 0 + 10 + 2 = 666.

It is a super-3 number, since 3×364463302201023 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19462327 + ... + 21252642.

It is an arithmetic number, because the mean of its divisors is an integer number (934103199225).

Almost surely, 236446330220102 is an apocalyptic number.

36446330220102 is an abundant number, since it is smaller than the sum of its proper divisors (53227576905498).

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

36446330220102 is a wasteful number, since it uses less digits than its factorization.

36446330220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40715139 (or 40715122 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 36446330220102 its reverse (20102203364463), we get a palindrome (56548533584565).

The spelling of 36446330220102 in words is "thirty-six trillion, four hundred forty-six billion, three hundred thirty million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 137 198 242 274 297 363 411 594 726 822 1089 1233 1507 2178 2466 3014 3267 3699 4521 6534 7398 9042 13563 16577 27126 33154 40689 49731 81378 99462 149193 298386 447579 895158 40714969 81429938 122144907 244289814 366434721 447864659 732869442 895729318 1099304163 1343593977 2198608326 2687187954 4030781931 4926511249 5577950753 8061563862 9853022498 11155901506 12092345793 14779533747 16733852259 24184691586 29559067494 33467704518 44338601241 50201556777 61357458283 88677202482 100403113554 122714916566 133015803723 150604670331 184072374849 266031607446 301209340662 368144749698 552217124547 674932041113 1104434249094 1349864082226 1656651373641 2024796123339 3313302747282 4049592246678 6074388370017 12148776740034 18223165110051 36446330220102