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9769890816 = 2103577179
BaseRepresentation
bin10010001100101010…
…01011010000000000
3221012212202212200000
421012111023100000
5130002043001231
64253242400000
7464051462460
oct110625132000
927185685600
109769890816
114163937634
121a87b00000
13bc91205aa
14689783ba0
153c2aa76e6
hex24654b400

9769890816 has 528 divisors, whose sum is σ = 34334576640. Its totient is φ = 2717245440.

The previous prime is 9769890797. The next prime is 9769890841. The reversal of 9769890816 is 6180989679.

It is a super-2 number, since 2×97698908162 (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123669465 + ... + 123669543.

Almost surely, 29769890816 is an apocalyptic number.

9769890816 is a gapful number since it is divisible by the number (96) 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 9769890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167288320).

9769890816 is an abundant number, since it is smaller than the sum of its proper divisors (24564685824).

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

9769890816 is an equidigital number, since it uses as much as digits as its factorization.

9769890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The square root of 9769890816 is about 98842.7580351742. The cubic root of 9769890816 is about 2137.7811175973.

The spelling of 9769890816 in words is "nine billion, seven hundred sixty-nine million, eight hundred ninety thousand, eight hundred sixteen".