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22009671889920 = 21035511131719383
BaseRepresentation
bin1010000000100100001101…
…01011001011010000000000
32212221002210212200021100000
411000102012223023100000
510341101302000434140
6114451034221200000
74431101121154521
oct500220653132000
985832725607300
1022009671889920
117016281a99980
122575756700000
13c38670574aa0
145613b9460848
152827c700da30
hex140486acb400

22009671889920 has 4224 divisors, whose sum is σ = 103827759759360. Its totient is φ = 4380080209920.

The previous prime is 22009671889913. The next prime is 22009671889963. The reversal of 22009671889920 is 2998817690022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57466506049 + ... + 57466506431.

Almost surely, 222009671889920 is an apocalyptic number.

22009671889920 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 22009671889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51913879879680).

22009671889920 is an abundant number, since it is smaller than the sum of its proper divisors (81818087869440).

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

22009671889920 is a wasteful number, since it uses less digits than its factorization.

22009671889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 22009671889920 in words is "twenty-two trillion, nine billion, six hundred seventy-one million, eight hundred eighty-nine thousand, nine hundred twenty".