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12327323166 = 23231672571283
BaseRepresentation
bin10110111101100010…
…00000011000011110
31011211010000220022200
423132301000120132
5200221243320131
65355121152330
7614324342454
oct133661003036
934733026280
1012327323166
1152564a8394
12248048b6a6
131215c0b082
1484d2a49d4
154c237a2e6
hex2dec4061e

12327323166 has 96 divisors (see below), whose sum is σ = 28113067008. Its totient is φ = 3898920960.

The previous prime is 12327323149. The next prime is 12327323167. The reversal of 12327323166 is 66132372321.

12327323166 is a `hidden beast` number, since 1 + 2 + 327 + 323 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12327323166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327323167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9607561 + ... + 9608843.

It is an arithmetic number, because the mean of its divisors is an integer number (292844448).

Almost surely, 212327323166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12327323166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056533504).

12327323166 is an abundant number, since it is smaller than the sum of its proper divisors (15785743842).

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

12327323166 is a wasteful number, since it uses less digits than its factorization.

12327323166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1643 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

Adding to 12327323166 its reverse (66132372321), we get a palindrome (78459695487).

The spelling of 12327323166 in words is "twelve billion, three hundred twenty-seven million, three hundred twenty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 257 279 402 514 558 603 771 1206 1283 1542 2077 2313 2566 3849 4154 4626 6231 7698 7967 11547 12462 15934 17219 18693 23094 23901 34438 37386 39773 47802 51657 71703 79546 85961 103314 119319 143406 154971 171922 238638 257883 309942 329731 357957 515766 533789 659462 715914 773649 989193 1067578 1547298 1601367 1978386 2664791 2967579 3202734 4804101 5329582 5935158 7994373 9608202 10221661 15988746 20443322 22091977 23983119 30664983 44183954 47966238 61329966 66275931 91994949 132551862 183989898 198827793 397655586 684851287 1369702574 2054553861 4109107722 6163661583 12327323166