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21948473814689 = 181265093457433
BaseRepresentation
bin1001111110110010001101…
…11111000010111010100001
32212201020211212200221100002
410333121012333002322201
510334100433244032224
6114402553434105345
74423503433126232
oct477310677027241
985636755627302
1021948473814689
116aa23283001a4
12256591757b255
13c32969848556
1455c45181d089
15280de45009ae
hex13f646fc2ea1

21948473814689 has 8 divisors (see below), whose sum is σ = 22069867600872. Its totient is φ = 21827081473920.

The previous prime is 21948473814629. The next prime is 21948473814697. The reversal of 21948473814689 is 98641837484912.

It can be written as a sum of positive squares in 4 ways, for example, as 44061368464 + 21904412446225 = 209908^2 + 4680215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21948473814689 - 28 = 21948473814433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21948473814629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47753117 + ... + 48210549.

It is an arithmetic number, because the mean of its divisors is an integer number (2758733450109).

Almost surely, 221948473814689 is an apocalyptic number.

It is an amenable number.

21948473814689 is a deficient number, since it is larger than the sum of its proper divisors (121393786183).

21948473814689 is a wasteful number, since it uses less digits than its factorization.

21948473814689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722707.

The product of its digits is 668860416, while the sum is 74.

The spelling of 21948473814689 in words is "twenty-one trillion, nine hundred forty-eight billion, four hundred seventy-three million, eight hundred fourteen thousand, six hundred eighty-nine".

Divisors: 1 181 265093 457433 47981833 82795373 121262286269 21948473814689