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12293213184 = 21034731683
BaseRepresentation
bin10110111001011101…
…11000110000000000
31011201201211221020000
423130232320300000
5200134030310214
65351502120000
7613431405450
oct133456706000
934651757200
1012293213184
11523922001a
122470b80000
13120bb27455
14848945d60
154be38d809
hex2dcbb8c00

12293213184 has 440 divisors, whose sum is σ = 43370984448. Its totient is φ = 3394068480.

The previous prime is 12293213173. The next prime is 12293213189. The reversal of 12293213184 is 48131239221.

12293213184 is a `hidden beast` number, since 1 + 229 + 321 + 31 + 84 = 666.

It is a super-2 number, since 2×122932131842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12293213189) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17998507 + ... + 17999189.

Almost surely, 212293213184 is an apocalyptic number.

12293213184 is a gapful number since it is divisible by the number (14) 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 12293213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685492224).

12293213184 is an abundant number, since it is smaller than the sum of its proper divisors (31077771264).

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

12293213184 is an equidigital number, since it uses as much as digits as its factorization.

12293213184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 726 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 12293213184 in words is "twelve billion, two hundred ninety-three million, two hundred thirteen thousand, one hundred eighty-four".