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9897818112 = 211337213281
BaseRepresentation
bin10010011011111010…
…01011100000000000
3221112210111020221000
421031331023200000
5130232320134422
64314052332000
7500164031400
oct111575134000
927483436830
109897818112
11421a073276
121b02914000
13c19791810
1469c764800
153cde26cac
hex24df4b800

9897818112 has 576 divisors, whose sum is σ = 36860896800. Its totient is φ = 2601123840.

The previous prime is 9897818101. The next prime is 9897818113. The reversal of 9897818112 is 2118187989.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9897818113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223412 + ... + 35223692.

Almost surely, 29897818112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9897818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430448400).

9897818112 is an abundant number, since it is smaller than the sum of its proper divisors (26963078688).

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

9897818112 is a wasteful number, since it uses less digits than its factorization.

9897818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 306 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The square root of 9897818112 is about 99487.7787067336. The cubic root of 9897818112 is about 2147.0714128647.

The spelling of 9897818112 in words is "nine billion, eight hundred ninety-seven million, eight hundred eighteen thousand, one hundred twelve".