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9996080927616 = 2732721747251883
BaseRepresentation
bin1001000101110110010011…
…0110100101001110000000
31022101121122001210202012100
42101131210312211032000
52302233433204140431
633132045225430400
72051123126646300
oct221354466451600
938347561722170
109996080927616
1132043500a4a23
12115538333b400
1357681b230494
14267b54843600
1512504ad564e6
hex91764da5380

9996080927616 has 1152 divisors, whose sum is σ = 36368462108160. Its totient is φ = 2617380864000.

The previous prime is 9996080927537. The next prime is 9996080927621. The reversal of 9996080927616 is 6167290806999.

9996080927616 is a `hidden beast` number, since 9 + 9 + 9 + 608 + 0 + 9 + 2 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×99960809276162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 11320589511 + ... + 11320590393.

It is an arithmetic number, because the mean of its divisors is an integer number (31569845580).

Almost surely, 29996080927616 is an apocalyptic number.

9996080927616 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 9996080927616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184231054080).

9996080927616 is an abundant number, since it is smaller than the sum of its proper divisors (26372381180544).

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

9996080927616 is a wasteful number, since it uses less digits than its factorization.

9996080927616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 9996080927616 in words is "nine trillion, nine hundred ninety-six billion, eighty million, nine hundred twenty-seven thousand, six hundred sixteen".