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12293488027392 = 2831113748914947
BaseRepresentation
bin1011001011100100110011…
…1111001010011100000000
31121112020122022120122110220
42302321030333022130000
53102404030413334032
642051314521023040
72406114044046105
oct262711477123400
947466568518426
1012293488027392
113a0a703556760
121466688324a80
136b236a367c60
14307017d20aac
15164bada6612c
hexb2e4cfca700

12293488027392 has 288 divisors, whose sum is σ = 38446346883840. Its totient is φ = 3438048706560.

The previous prime is 12293488027343. The next prime is 12293488027399. The reversal of 12293488027392 is 29372088439221.

It is a super-2 number, since 2×122934880273922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293488027399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822464463 + ... + 822479409.

Almost surely, 212293488027392 is an apocalyptic number.

12293488027392 is a gapful number since it is divisible by the number (12) 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 12293488027392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223173441920).

12293488027392 is an abundant number, since it is smaller than the sum of its proper divisors (26152858856448).

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

12293488027392 is a wasteful number, since it uses less digits than its factorization.

12293488027392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22479 (or 22465 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 12293488027392 in words is "twelve trillion, two hundred ninety-three billion, four hundred eighty-eight million, twenty-seven thousand, three hundred ninety-two".