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9680247411120 = 2432511213231127167
BaseRepresentation
bin1000110011011101101110…
…1101010101000110110000
31021021102102002022202002100
42030313123231111012300
52232100121314123440
632331013321220400
72016242361235146
oct214673355250660
937242362282070
109680247411120
1130a2408333400
12110411b331700
13552ac6c99200
14256752909596
1511bc135da230
hex8cddbb551b0

9680247411120 has 2160 divisors, whose sum is σ = 40497503993856. Its totient is φ = 2067370905600.

The previous prime is 9680247411103. The next prime is 9680247411127. The reversal of 9680247411120 is 211147420869.

9680247411120 is a `hidden beast` number, since 9 + 68 + 0 + 2 + 474 + 1 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9680247411127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 57965553277 + ... + 57965553443.

Almost surely, 29680247411120 is an apocalyptic number.

9680247411120 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 9680247411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248751996928).

9680247411120 is an abundant number, since it is smaller than the sum of its proper divisors (30817256582736).

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

9680247411120 is a wasteful number, since it uses less digits than its factorization.

9680247411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 9680247411120 in words is "nine trillion, six hundred eighty billion, two hundred forty-seven million, four hundred eleven thousand, one hundred twenty".