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9930318840 = 233251319181617
BaseRepresentation
bin10010011111110010…
…01010001111111000
3221122001122110112200
421033321022033320
5130314130200330
64321213110200
7501040213611
oct111771121770
927561573480
109930318840
114236451582
121b11788360
13c23430b10
146a2bc4c08
153d1be6a60
hex24fe4a3f8

9930318840 has 384 divisors, whose sum is σ = 36847137600. Its totient is φ = 2299207680.

The previous prime is 9930318809. The next prime is 9930318869. The reversal of 9930318840 is 488130399.

It is a super-2 number, since 2×99303188402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16094212 + ... + 16094828.

Almost surely, 29930318840 is an apocalyptic number.

9930318840 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 9930318840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423568800).

9930318840 is an abundant number, since it is smaller than the sum of its proper divisors (26916818760).

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

9930318840 is a wasteful number, since it uses less digits than its factorization.

9930318840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9930318840 is about 99650.9851431485. The cubic root of 9930318840 is about 2149.4189047928.

The spelling of 9930318840 in words is "nine billion, nine hundred thirty million, three hundred eighteen thousand, eight hundred forty".