Base | Representation |
---|---|
bin | 1001111100111010011010… |
… | …0101010110110000000000 |
3 | 1102202001102010101200021110 |
4 | 2133032212211112300000 |
5 | 2413233333041411110 |
6 | 35134415350123320 |
7 | 2206352566522233 |
oct | 237164645266000 |
9 | 42661363350243 |
10 | 10942076513280 |
11 | 3539565a29030 |
12 | 1288793350540 |
13 | 614aaac50563 |
14 | 29b8567b741a |
15 | 13e9663cea20 |
hex | 9f3a6956c00 |
10942076513280 has 704 divisors, whose sum is σ = 38537194848768. Its totient is φ = 2627878256640.
The previous prime is 10942076513279. The next prime is 10942076513287. The reversal of 10942076513280 is 8231567024901.
It is a tau number, because it is divible by the number of its divisors (704).
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (10942076513287) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10011048414 + ... + 10011049506.
It is an arithmetic number, because the mean of its divisors is an integer number (54740333592).
It is a 1-persistent number, because it is pandigital, but 2⋅10942076513280 = 21884153026560 is not.
Almost surely, 210942076513280 is an apocalyptic number.
10942076513280 is a gapful number since it is divisible by the number (10) 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 10942076513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268597424384).
10942076513280 is an abundant number, since it is smaller than the sum of its proper divisors (27595118335488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10942076513280 is a wasteful number, since it uses less digits than its factorization.
10942076513280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1632 (or 1614 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 48.
The spelling of 10942076513280 in words is "ten trillion, nine hundred forty-two billion, seventy-six million, five hundred thirteen thousand, two hundred eighty".
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