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12466991992 = 23721331531489
BaseRepresentation
bin10111001110001011…
…10011001101111000
31012011211211210221011
423213011303031320
5201013022220432
65421030523304
7620641453300
oct134705631570
935154753834
1012466991992
115318323674
1224bb206534
131238b30750
14863a60600
154ce768847
hex2e7173378

12466991992 has 192 divisors, whose sum is σ = 30819398400. Its totient is φ = 4679700480.

The previous prime is 12466991989. The next prime is 12466991993. The reversal of 12466991992 is 29919966421.

It is a Smith number, since the sum of its digits (58) 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 (12466991993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8371984 + ... + 8373472.

It is an arithmetic number, because the mean of its divisors is an integer number (160517700).

Almost surely, 212466991992 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 12466991992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409699200).

12466991992 is an abundant number, since it is smaller than the sum of its proper divisors (18352406408).

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

12466991992 is a wasteful number, since it uses less digits than its factorization.

12466991992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 58.

The spelling of 12466991992 in words is "twelve billion, four hundred sixty-six million, nine hundred ninety-one thousand, nine hundred ninety-two".