Base | Representation |
---|---|
bin | 1010000000010011000110… |
… | …1110111000000000000000 |
3 | 1102221121120000211022000000 |
4 | 2200010301232320000000 |
5 | 2420212000334213030 |
6 | 35221235412000000 |
7 | 2213512224660660 |
oct | 240046156700000 |
9 | 42847500738000 |
10 | 11000245616640 |
11 | 35611a5969375 |
12 | 1297b08000000 |
13 | 61a41b290547 |
14 | 2a05b40301a0 |
15 | 14121d024860 |
hex | a0131bb8000 |
11000245616640 has 1792 divisors, whose sum is σ = 46209787545600. Its totient is φ = 2460641918976.
The previous prime is 11000245616617. The next prime is 11000245616653. The reversal of 11000245616640 is 4661654200011.
11000245616640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 2 + 4 + 5 + 6 + 1 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1792).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 11000245616595 and 11000245616604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49328455569 + ... + 49328455791.
It is an arithmetic number, because the mean of its divisors is an integer number (25786711800).
Almost surely, 211000245616640 is an apocalyptic number.
11000245616640 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 11000245616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23104893772800).
11000245616640 is an abundant number, since it is smaller than the sum of its proper divisors (35209541928960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000245616640 is an frugal number, since it uses more digits than its factorization.
11000245616640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Adding to 11000245616640 its reverse (4661654200011), we get a palindrome (15661899816651).
The spelling of 11000245616640 in words is "eleven trillion, two hundred forty-five million, six hundred sixteen thousand, six hundred forty".
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