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9993544344 = 23337234143163
BaseRepresentation
bin10010100111010100…
…10110001010011000
3221210110121122122000
421103222112022120
5130431321404334
64331352201000
7502435503540
oct112352261230
927713548560
109993544344
114269105863
121b2a999160
13c33569c64
146ab362320
153d7535299
hex253a96298

9993544344 has 512 divisors, whose sum is σ = 34913894400. Its totient is φ = 2586608640.

The previous prime is 9993544343. The next prime is 9993544381. The reversal of 9993544344 is 4434453999.

9993544344 is a `hidden beast` number, since 9 + 9 + 93 + 544 + 3 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993544343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61310007 + ... + 61310169.

It is an arithmetic number, because the mean of its divisors is an integer number (68191200).

Almost surely, 29993544344 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 9993544344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456947200).

9993544344 is an abundant number, since it is smaller than the sum of its proper divisors (24920350056).

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

9993544344 is a wasteful number, since it uses less digits than its factorization.

9993544344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 9993544344 is about 99967.7165088810. The cubic root of 9993544344 is about 2153.9709805915.

The spelling of 9993544344 in words is "nine billion, nine hundred ninety-three million, five hundred forty-four thousand, three hundred forty-four".