Base | Representation |
---|---|
bin | 1010101011011111111110… |
… | …1001000000110001000000 |
3 | 1112120120021110021010112000 |
4 | 2222313333221000301000 |
5 | 3014342001221423323 |
6 | 40550222220504000 |
7 | 2321235321630360 |
oct | 252677751006100 |
9 | 45516243233460 |
10 | 11742434561088 |
11 | 3817a36204400 |
12 | 13979196ab000 |
13 | 6723cb14022a |
14 | 2c84a05029a0 |
15 | 1556aad49e43 |
hex | aadffa40c40 |
11742434561088 has 672 divisors, whose sum is σ = 44763733647360. Its totient is φ = 2951585049600.
The previous prime is 11742434561083. The next prime is 11742434561129. The reversal of 11742434561088 is 88016543424711.
It is a happy number.
11742434561088 is a `hidden beast` number, since 1 + 1 + 7 + 42 + 4 + 34 + 561 + 0 + 8 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (11742434561083) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45242695 + ... + 45501497.
It is an arithmetic number, because the mean of its divisors is an integer number (66612698880).
Almost surely, 211742434561088 is an apocalyptic number.
11742434561088 is a gapful number since it is divisible by the number (18) 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 11742434561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22381866823680).
11742434561088 is an abundant number, since it is smaller than the sum of its proper divisors (33021299086272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11742434561088 is a wasteful number, since it uses less digits than its factorization.
11742434561088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258884 (or 258857 counting only the distinct ones).
The product of its (nonzero) digits is 5160960, while the sum is 54.
Adding to 11742434561088 its reverse (88016543424711), we get a palindrome (99758977985799).
The spelling of 11742434561088 in words is "eleven trillion, seven hundred forty-two billion, four hundred thirty-four million, five hundred sixty-one thousand, eighty-eight".
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