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9680856981120 = 273351317191011321
BaseRepresentation
bin1000110011100000000000…
…0010101001111010000000
31021021110222120100002221000
42030320000002221322000
52232102343341343440
632331154014332000
72016263442423153
oct214700002517200
937243876302830
109680856981120
1130a26a0428366
12110426b4ba000
13552b93365a10
142567ad863c9a
1511bc4bd98730
hex8ce000a9e80

9680856981120 has 2048 divisors, whose sum is σ = 41592362112000. Its totient is φ = 2102132736000.

The previous prime is 9680856981119. The next prime is 9680856981127. The reversal of 9680856981120 is 211896580869.

9680856981120 is a `hidden beast` number, since 9 + 68 + 0 + 8 + 569 + 8 + 1 + 1 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (9680856981127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7328430060 + ... + 7328431380.

Almost surely, 29680856981120 is an apocalyptic number.

9680856981120 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 9680856981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796181056000).

9680856981120 is an abundant number, since it is smaller than the sum of its proper divisors (31911505130880).

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

9680856981120 is a wasteful number, since it uses less digits than its factorization.

9680856981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 9680856981120 in words is "nine trillion, six hundred eighty billion, eight hundred fifty-six million, nine hundred eighty-one thousand, one hundred twenty".