Search a number
-
+
12263333796 = 2233779720353
BaseRepresentation
bin10110110101111001…
…11001111110100100
31011122122121220102000
423122330321332210
5200103403140141
65344513445300
7612616421520
oct133274717644
934578556360
1012263333796
11522337220a
122462b70830
13120589533c
148449a8d80
154bb93a5b6
hex2daf39fa4

12263333796 has 96 divisors (see below), whose sum is σ = 36383182080. Its totient is φ = 3499241472.

The previous prime is 12263333783. The next prime is 12263333827. The reversal of 12263333796 is 69733336221.

12263333796 is a `hidden beast` number, since 1 + 2 + 2 + 633 + 3 + 3 + 7 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 592356 + ... + 612708.

It is an arithmetic number, because the mean of its divisors is an integer number (378991480).

Almost surely, 212263333796 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 12263333796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191591040).

12263333796 is an abundant number, since it is smaller than the sum of its proper divisors (24119848284).

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

12263333796 is a wasteful number, since it uses less digits than its factorization.

12263333796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21170 (or 21162 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The spelling of 12263333796 in words is "twelve billion, two hundred sixty-three million, three hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 797 1594 2391 3188 4782 5579 7173 9564 11158 14346 16737 20353 21519 22316 28692 33474 40706 43038 50211 61059 66948 81412 86076 100422 122118 142471 150633 183177 200844 244236 284942 301266 366354 427413 549531 569884 602532 732708 854826 1099062 1282239 1709652 2198124 2564478 3846717 5128956 7693434 15386868 16221341 32442682 48664023 64885364 97328046 113549387 145992069 194656092 227098774 291984138 340648161 437976207 454197548 583968276 681296322 875952414 1021944483 1362592644 1751904828 2043888966 3065833449 4087777932 6131666898 12263333796