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12329382492 = 2233719978849
BaseRepresentation
bin10110111101110001…
…10111001001011100
31011211020220112012000
423132320313021130
5200222310214432
65355233242300
7614351010360
oct133670671134
934736815160
1012329382492
115257684609
122481103390
13121647c4cb
1484d67d2a0
154c263557c
hex2dee3725c

12329382492 has 192 divisors, whose sum is σ = 38855040000. Its totient is φ = 3302498304.

The previous prime is 12329382487. The next prime is 12329382497. The reversal of 12329382492 is 29428392321.

12329382492 is a `hidden beast` number, since 123 + 2 + 9 + 38 + 2 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (12329382487) and next prime (12329382497).

It is a super-2 number, since 2×123293824922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329382497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1388884 + ... + 1397732.

It is an arithmetic number, because the mean of its divisors is an integer number (202370000).

Almost surely, 212329382492 is an apocalyptic number.

12329382492 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 12329382492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427520000).

12329382492 is an abundant number, since it is smaller than the sum of its proper divisors (26525657508).

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

12329382492 is a wasteful number, since it uses less digits than its factorization.

12329382492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8977 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12329382492 in words is "twelve billion, three hundred twenty-nine million, three hundred eighty-two thousand, four hundred ninety-two".