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12194688384 = 273229241307
BaseRepresentation
bin10110101101101110…
…00010110110000000
31011110212110100121100
423112313002312000
5144433320012014
65334022254400
7611124066234
oct132667026600
934425410540
1012194688384
11519864696a
122443b87400
1311c45ac258
1483981a5c4
154b58cb009
hex2d6dc2d80

12194688384 has 288 divisors, whose sum is σ = 37350953640. Its totient is φ = 3816529920.

The previous prime is 12194688383. The next prime is 12194688409. The reversal of 12194688384 is 48388649121.

It is a happy number.

12194688384 is a `hidden beast` number, since 1 + 21 + 9 + 468 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12194688384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12194688383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39721959 + ... + 39722265.

Almost surely, 212194688384 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 12194688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675476820).

12194688384 is an abundant number, since it is smaller than the sum of its proper divisors (25156265256).

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

12194688384 is a wasteful number, since it uses less digits than its factorization.

12194688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 382 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 12194688384 in words is "twelve billion, one hundred ninety-four million, six hundred eighty-eight thousand, three hundred eighty-four".