Search a number
-
+
12220766364 = 223231732111213
BaseRepresentation
bin10110110000110101…
…00001100010011100
31011112200112020212110
423120122201202130
5200012004010424
65340353234020
7611561541312
oct133032414234
934480466773
1012220766364
115201338714
122450862910
1311c9b10001
1483d0880b2
154b7d2cc29
hex2d86a189c

12220766364 has 96 divisors (see below), whose sum is σ = 30093525504. Its totient is φ = 3852414720.

The previous prime is 12220766323. The next prime is 12220766381. The reversal of 12220766364 is 46366702221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10074222 + ... + 10075434.

It is an arithmetic number, because the mean of its divisors is an integer number (313474224).

Almost surely, 212220766364 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 12220766364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046762752).

12220766364 is an abundant number, since it is smaller than the sum of its proper divisors (17872759140).

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

12220766364 is a wasteful number, since it uses less digits than its factorization.

12220766364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 12220766364 in words is "twelve billion, two hundred twenty million, seven hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 173 211 276 346 422 519 633 692 844 1038 1213 1266 2076 2426 2532 3639 3979 4852 4853 7278 7958 9706 11937 14556 14559 15916 19412 23874 27899 29118 36503 47748 55798 58236 73006 83697 109509 111596 146012 167394 209849 219018 255943 334788 419698 438036 511886 629547 767829 839396 839569 1023772 1259094 1535658 1679138 2518188 2518707 3071316 3358276 4826527 5037414 5886689 9653054 10074828 11773378 14479581 17660067 19306108 23546756 28959162 35320134 44278139 57918324 70640268 88556278 132834417 177112556 265668834 531337668 1018397197 2036794394 3055191591 4073588788 6110383182 12220766364