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19714061672448 = 2133111310395399
BaseRepresentation
bin1000111101110000010011…
…01001001010000000000000
32120210122102212001110011220
410132320021221022000000
510040443344242004243
6105532303115235040
74103202553235643
oct436701151120000
976718385043156
1019714061672448
116310760962440
122264873448a80
13b000497a8290
144c2246887a5a
15242c1be3d783
hex11ee09a4a000

19714061672448 has 448 divisors, whose sum is σ = 61828655616000. Its totient is φ = 5508095016960.

The previous prime is 19714061672411. The next prime is 19714061672449. The reversal of 19714061672448 is 84427616041791.

It is a junction number, because it is equal to n+sod(n) for n = 19714061672391 and 19714061672400.

It is not an unprimeable number, because it can be changed into a prime (19714061672449) 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, 3651425653 + ... + 3651431051.

It is an arithmetic number, because the mean of its divisors is an integer number (138010392000).

Almost surely, 219714061672448 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 19714061672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914327808000).

19714061672448 is an abundant number, since it is smaller than the sum of its proper divisors (42114593943552).

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

19714061672448 is a wasteful number, since it uses less digits than its factorization.

19714061672448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 19714061672448 in words is "nineteen trillion, seven hundred fourteen billion, sixty-one million, six hundred seventy-two thousand, four hundred forty-eight".