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9998069760 = 2123557241
BaseRepresentation
bin10010100111110111…
…00111000000000000
3221210210010120100000
421103323213000000
5130434001213020
64332033200000
7502522122300
oct112373470000
927723116300
109998069760
114270716878
121b30400000
13c34492a13
146abbbd600
153d7b2b090
hex253ee7000

9998069760 has 936 divisors, whose sum is σ = 42826610736. Its totient is φ = 2229534720.

The previous prime is 9998069723. The next prime is 9998069771. The reversal of 9998069760 is 679608999.

It is a super-2 number, since 2×99980697602 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855340 + ... + 243855380.

It is an arithmetic number, because the mean of its divisors is an integer number (45754926).

Almost surely, 29998069760 is an apocalyptic number.

9998069760 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 9998069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413305368).

9998069760 is an abundant number, since it is smaller than the sum of its proper divisors (32828540976).

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

9998069760 is an equidigital number, since it uses as much as digits as its factorization.

9998069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The square root of 9998069760 is about 99990.3483342267. The cubic root of 9998069760 is about 2154.2960619114.

The spelling of 9998069760 in words is "nine billion, nine hundred ninety-eight million, sixty-nine thousand, seven hundred sixty".