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9934498080 = 253251317193153
BaseRepresentation
bin10010100000010010…
…00110100100100000
3221122100111210101100
421100021012210200
5130321212414310
64321442434400
7501120561153
oct112011064440
927570453340
109934498080
1142388464a1
121b13062a00
13c24265140
146a3591c9a
153d226eec0
hex250246920

9934498080 has 1152 divisors, whose sum is σ = 42796615680. Its totient is φ = 2070282240.

The previous prime is 9934498069. The next prime is 9934498103. The reversal of 9934498080 is 808944399.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187443334 + ... + 187443386.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 29934498080 is an apocalyptic number.

9934498080 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 9934498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

9934498080 is an abundant number, since it is smaller than the sum of its proper divisors (32862117600).

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

9934498080 is a wasteful number, since it uses less digits than its factorization.

9934498080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9934498080 is about 99671.9523236101. The cubic root of 9934498080 is about 2149.7203948633.

The spelling of 9934498080 in words is "nine billion, nine hundred thirty-four million, four hundred ninety-eight thousand, eighty".