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12143632644 = 2233111317232011
BaseRepresentation
bin10110100111101000…
…10010000100000100
31011100022101110022000
423103310102010010
5144332232221034
65325000105300
7606634113543
oct132364220404
934308343260
1012143632644
115171844a40
12242aa65230
1311b6b44460
14832b2a15a
154b1193599
hex2d3d12104

12143632644 has 384 divisors, whose sum is σ = 40886415360. Its totient is φ = 3056486400.

The previous prime is 12143632607. The next prime is 12143632649. The reversal of 12143632644 is 44623634121.

12143632644 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 6 + 3 + 2 + 644 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

It is a junction number, because it is equal to n+sod(n) for n = 12143632599 and 12143632608.

It is not an unprimeable number, because it can be changed into a prime (12143632649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6037599 + ... + 6039609.

It is an arithmetic number, because the mean of its divisors is an integer number (106475040).

Almost surely, 212143632644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143632644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20443207680).

12143632644 is an abundant number, since it is smaller than the sum of its proper divisors (28742782716).

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

12143632644 is a wasteful number, since it uses less digits than its factorization.

12143632644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12143632644 in words is "twelve billion, one hundred forty-three million, six hundred thirty-two thousand, six hundred forty-four".