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12326358352896 = 210347194127253
BaseRepresentation
bin1011001101011111010000…
…1101100000010000000000
31121122101111002220012020000
42303113310031200100000
53103423340214243041
642114352330120000
72411356436153640
oct263276415402000
947571432805200
1012326358352896
113a22640a40825
121470b20580000
136b54a82b0cc3
14308855658520
1516598466bbb6
hexb35f4360400

12326358352896 has 880 divisors, whose sum is σ = 45363101266560. Its totient is φ = 3254961438720.

The previous prime is 12326358352873. The next prime is 12326358352927. The reversal of 12326358352896 is 69825385362321.

12326358352896 is a `hidden beast` number, since 1 + 2 + 3 + 26 + 3 + 5 + 83 + 528 + 9 + 6 = 666.

It is a super-2 number, since 2×123263583528962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 452280006 + ... + 452307258.

It is an arithmetic number, because the mean of its divisors is an integer number (51548978712).

Almost surely, 212326358352896 is an apocalyptic number.

12326358352896 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 12326358352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22681550633280).

12326358352896 is an abundant number, since it is smaller than the sum of its proper divisors (33036742913664).

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

12326358352896 is a wasteful number, since it uses less digits than its factorization.

12326358352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27352 (or 27325 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 12326358352896 in words is "twelve trillion, three hundred twenty-six billion, three hundred fifty-eight million, three hundred fifty-two thousand, eight hundred ninety-six".