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9994531680 = 25365712241
BaseRepresentation
bin10010100111011100…
…00111001101100000
3221210112110211000000
421103232013031200
5130432100003210
64331425300000
7502450055220
oct112356071540
927715424000
109994531680
11426971a641
121b2b194600
13c33824493
146ab53c080
153d767cac0
hex253b87360

9994531680 has 336 divisors, whose sum is σ = 40462650144. Its totient is φ = 2284277760.

The previous prime is 9994531663. The next prime is 9994531699. The reversal of 9994531680 is 861354999.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 810360 + ... + 822600.

It is an arithmetic number, because the mean of its divisors is an integer number (120424554).

Almost surely, 29994531680 is an apocalyptic number.

9994531680 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 9994531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231325072).

9994531680 is an abundant number, since it is smaller than the sum of its proper divisors (30468118464).

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

9994531680 is a wasteful number, since it uses less digits than its factorization.

9994531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9994531680 is about 99972.6546611622. The cubic root of 9994531680 is about 2154.0419138188.

The spelling of 9994531680 in words is "nine billion, nine hundred ninety-four million, five hundred thirty-one thousand, six hundred eighty".