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12813199168 = 2671122343239
BaseRepresentation
bin10111110111011100…
…11110011101000000
31020001222021221220011
423323232132131000
5202220134333133
65515235154304
7632344252540
oct137356363500
936058257804
1012813199168
115485798200
122597145994
131292789473
14897a21320
154eed536cd
hex2fbb9e740

12813199168 has 336 divisors, whose sum is σ = 34246840320. Its totient is φ = 4644541440.

The previous prime is 12813199163. The next prime is 12813199207. The reversal of 12813199168 is 86199131821.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813199163) 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, 53611593 + ... + 53611831.

It is an arithmetic number, because the mean of its divisors is an integer number (101925120).

Almost surely, 212813199168 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 12813199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123420160).

12813199168 is an abundant number, since it is smaller than the sum of its proper divisors (21433641152).

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

12813199168 is a wasteful number, since it uses less digits than its factorization.

12813199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its digits is 186624, while the sum is 49.

The spelling of 12813199168 in words is "twelve billion, eight hundred thirteen million, one hundred ninety-nine thousand, one hundred sixty-eight".