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9949818240 = 273257323663
BaseRepresentation
bin10010100010000111…
…00010110110000000
3221200102100010200200
421101003202312000
5130334123140430
64323151045200
7501365026305
oct112103426600
927612303620
109949818240
11424645a78a
121b18210800
13c2749a41b
146a561d0ac
153d3799460
hex2510e2d80

9949818240 has 192 divisors, whose sum is σ = 34830095040. Its totient is φ = 2616827904.

The previous prime is 9949818223. The next prime is 9949818251. The reversal of 9949818240 is 428189499.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408649 + ... + 432311.

It is an arithmetic number, because the mean of its divisors is an integer number (181406745).

Almost surely, 29949818240 is an apocalyptic number.

9949818240 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 9949818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415047520).

9949818240 is an abundant number, since it is smaller than the sum of its proper divisors (24880276800).

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

9949818240 is a wasteful number, since it uses less digits than its factorization.

9949818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23761 (or 23746 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 9949818240 is about 99748.7756315836. The cubic root of 9949818240 is about 2150.8248675549.

The spelling of 9949818240 in words is "nine billion, nine hundred forty-nine million, eight hundred eighteen thousand, two hundred forty".