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9999681480 = 23325238211471
BaseRepresentation
bin10010101000000011…
…10000011111001000
3221210220011110012100
421110001300133020
5130434404301410
64332131513400
7502541614215
oct112401603710
927726143170
109999681480
114271617778
121b30a58860
13c349084b9
146ac0bcb0c
153d7d488c0
hex2540707c8

9999681480 has 192 divisors, whose sum is σ = 33976350720. Its totient is φ = 2545804800.

The previous prime is 9999681451. The next prime is 9999681509. The reversal of 9999681480 is 841869999.

9999681480 is a `hidden beast` number, since 9 + 9 + 99 + 68 + 1 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9999681451) and next prime (9999681509).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6797145 + ... + 6798615.

It is an arithmetic number, because the mean of its divisors is an integer number (176960160).

Almost surely, 29999681480 is an apocalyptic number.

9999681480 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 9999681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988175360).

9999681480 is an abundant number, since it is smaller than the sum of its proper divisors (23976669240).

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

9999681480 is a wasteful number, since it uses less digits than its factorization.

9999681480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 9999681480 is about 99998.4073873179. The cubic root of 9999681480 is about 2154.4118154378.

It can be divided in two parts, 99996 and 81480, that added together give a square (181476 = 4262).

The spelling of 9999681480 in words is "nine billion, nine hundred ninety-nine million, six hundred eighty-one thousand, four hundred eighty".