Base | Representation |
---|---|
bin | 1001101011110110100000… |
… | …1111011100101100000000 |
3 | 1101201000212020001122221000 |
4 | 2122331220033130230000 |
5 | 2343433044014310122 |
6 | 34352023124332000 |
7 | 2146235321236116 |
oct | 232755017345400 |
9 | 41630766048830 |
10 | 10648972806912 |
11 | 3436227593260 |
12 | 123ba13544000 |
13 | 5c3269ab708b |
14 | 28b5ad517ab6 |
15 | 13700e3a20ac |
hex | 9af683dcb00 |
10648972806912 has 576 divisors, whose sum is σ = 34749543628800. Its totient is φ = 3189895188480.
The previous prime is 10648972806907. The next prime is 10648972806919. The reversal of 10648972806912 is 21960827984601.
10648972806912 is a `hidden beast` number, since 1 + 0 + 6 + 489 + 7 + 2 + 80 + 69 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×106489728069122 (a number of 27 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10648972806912.
It is not an unprimeable number, because it can be changed into a prime (10648972806919) 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, 6727082473 + ... + 6727084055.
It is an arithmetic number, because the mean of its divisors is an integer number (60329068800).
Almost surely, 210648972806912 is an apocalyptic number.
10648972806912 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 10648972806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374771814400).
10648972806912 is an abundant number, since it is smaller than the sum of its proper divisors (24100570821888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10648972806912 is a wasteful number, since it uses less digits than its factorization.
10648972806912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).
The product of its (nonzero) digits is 20901888, while the sum is 63.
The spelling of 10648972806912 in words is "ten trillion, six hundred forty-eight billion, nine hundred seventy-two million, eight hundred six thousand, nine hundred twelve".
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