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21939992895744 = 28357211797821
BaseRepresentation
bin1001111110100010011010…
…11110111010000100000000
32212200102221211100121200000
410333101031132322010000
510333431101140130434
6114355032114400000
74423053322403100
oct477211536720400
985612854317600
1021939992895744
116a99776019280
12256414b290000
13c31c177a1411
1455bc89329200
15280a99baab99
hex13f44d7ba100

21939992895744 has 1296 divisors, whose sum is σ = 83455140839616. Its totient is φ = 5684616806400.

The previous prime is 21939992895719. The next prime is 21939992895757. The reversal of 21939992895744 is 44759829993912.

21939992895744 is a `hidden beast` number, since 2 + 1 + 9 + 39 + 9 + 9 + 2 + 8 + 9 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Smith number, since the sum of its digits (81) 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 (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26723498854 + ... + 26723499674.

It is an arithmetic number, because the mean of its divisors is an integer number (64394398796).

Almost surely, 221939992895744 is an apocalyptic number.

21939992895744 is a gapful number since it is divisible by the number (24) 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 21939992895744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41727570419808).

21939992895744 is an abundant number, since it is smaller than the sum of its proper divisors (61515147943872).

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

21939992895744 is an equidigital number, since it uses as much as digits as its factorization.

21939992895744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1641 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 21939992895744 in words is "twenty-one trillion, nine hundred thirty-nine billion, nine hundred ninety-two million, eight hundred ninety-five thousand, seven hundred forty-four".