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9897840000 = 27325459233
BaseRepresentation
bin10010011011111010…
…10000110110000000
3221112210112100221200
421031331100312000
5130232321340000
64314053021200
7500164152246
oct111575206600
927483470850
109897840000
11421a088764
121b02924800
13c1979b779
1469c76c796
153cde2d500
hex24df50d80

9897840000 has 480 divisors, whose sum is σ = 36349770600. Its totient is φ = 2583552000.

The previous prime is 9897839969. The next prime is 9897840023. The reversal of 9897840000 is 487989.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 42479884 + ... + 42480116.

Almost surely, 29897840000 is an apocalyptic number.

9897840000 is a gapful number since it is divisible by the number (90) 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 9897840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174885300).

9897840000 is an abundant number, since it is smaller than the sum of its proper divisors (26451930600).

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

9897840000 is a wasteful number, since it uses less digits than its factorization.

9897840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9897840000 is about 99487.8887101340. Note that the first 3 decimals coincide. The cubic root of 9897840000 is about 2147.0729955389.

The spelling of 9897840000 in words is "nine billion, eight hundred ninety-seven million, eight hundred forty thousand".