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1080112868352 = 210327314191289
BaseRepresentation
bin11111011011110111011…
…11100110110000000000
310211020221220220210202100
433231323233212300000
5120144032343241402
62144110315150400
7141015126616620
oct17557357466000
93736856823670
101080112868352
11387089612701
121553bb745400
137ab148cb45b
143a3c61a2880
151d169acc71c
hexfb7bbe6c00

1080112868352 has 528 divisors, whose sum is σ = 3690966988800. Its totient is φ = 297704816640.

The previous prime is 1080112868339. The next prime is 1080112868353. The reversal of 1080112868352 is 2538682110801.

1080112868352 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 11 + 286 + 8 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1080112868298 and 1080112868307.

It is not an unprimeable number, because it can be changed into a prime (1080112868353) 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 47 ways as a sum of consecutive naturals, for example, 837945724 + ... + 837947012.

Almost surely, 21080112868352 is an apocalyptic number.

1080112868352 is a gapful number since it is divisible by the number (12) 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 1080112868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845483494400).

1080112868352 is an abundant number, since it is smaller than the sum of its proper divisors (2610854120448).

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

1080112868352 is a wasteful number, since it uses less digits than its factorization.

1080112868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1080112868352 in words is "one trillion, eighty billion, one hundred twelve million, eight hundred sixty-eight thousand, three hundred fifty-two".