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21986575920000 = 273254251121661
BaseRepresentation
bin1001111111111001001100…
…00011000010101110000000
32212211220012021112102202200
410333330212003002232000
510340212001413420000
6114432254334313200
74426322563516326
oct477744603025600
985756167472680
1021986575920000
1170074aaa1092a
12257118b958800
13c3642c6535b3
14560227d0dd16
15281dc4593500
hex13ff260c2b80

21986575920000 has 480 divisors, whose sum is σ = 79376155218360. Its totient is φ = 5839680000000.

The previous prime is 21986575919999. The next prime is 21986575920013. The reversal of 21986575920000 is 2957568912.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180659170 + ... + 180780830.

Almost surely, 221986575920000 is an apocalyptic number.

21986575920000 is a gapful number since it is divisible by the number (20) 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 21986575920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39688077609180).

21986575920000 is an abundant number, since it is smaller than the sum of its proper divisors (57389579298360).

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

21986575920000 is a wasteful number, since it uses less digits than its factorization.

21986575920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121952 (or 121922 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 21986575920000 in words is "twenty-one trillion, nine hundred eighty-six billion, five hundred seventy-five million, nine hundred twenty thousand".