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9788425920 = 26325713417
BaseRepresentation
bin10010001110110111…
…11000011011000000
3221021011122120001100
421013123320123000
5130021314112140
64255143534400
7464365150620
oct110733703300
927234576040
109788425920
1141733472a9
121a9215a400
13bccc10000
1468c00a880
153c4519530
hex2476f86c0

9788425920 has 840 divisors, whose sum is σ = 44136222624. Its totient is φ = 1943764992.

The previous prime is 9788425919. The next prime is 9788425949. The reversal of 9788425920 is 295248879.

9788425920 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 575789752 + ... + 575789768.

Almost surely, 29788425920 is an apocalyptic number.

9788425920 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 9788425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068111312).

9788425920 is an abundant number, since it is smaller than the sum of its proper divisors (34347796704).

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

9788425920 is a wasteful number, since it uses less digits than its factorization.

9788425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9788425920 is about 98936.4741639806. The cubic root of 9788425920 is about 2139.1321720666.

The spelling of 9788425920 in words is "nine billion, seven hundred eighty-eight million, four hundred twenty-five thousand, nine hundred twenty".