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12850269696 = 2932112191213
BaseRepresentation
bin10111111011110111…
…11000111000000000
31020011120001100002200
423331323320320000
5202304132112241
65523041513200
7633304330065
oct137573707000
936146040080
1012850269696
1154a4707900
1225a7642800
13129a3687a4
1489c910c6c
155032274b6
hex2fdef8e00

12850269696 has 360 divisors, whose sum is σ = 42945662760. Its totient is φ = 3686031360.

The previous prime is 12850269667. The next prime is 12850269697. The reversal of 12850269696 is 69696205821.

It is a happy number.

12850269696 is a `hidden beast` number, since 12 + 8 + 502 + 69 + 69 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12850269697) 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 35 ways as a sum of consecutive naturals, for example, 10593186 + ... + 10594398.

Almost surely, 212850269696 is an apocalyptic number.

12850269696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12850269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472831380).

12850269696 is an abundant number, since it is smaller than the sum of its proper divisors (30095393064).

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

12850269696 is a wasteful number, since it uses less digits than its factorization.

12850269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 12850269696 in words is "twelve billion, eight hundred fifty million, two hundred sixty-nine thousand, six hundred ninety-six".