Base | Representation |
---|---|
bin | 1010011001011011111111… |
… | …0101100110100100000000 |
3 | 1111110220022112212001022000 |
4 | 2212112333311212210000 |
5 | 2444300443334140441 |
6 | 40151502453344000 |
7 | 2256641515463310 |
oct | 246267765464400 |
9 | 44426275761260 |
10 | 11432126474496 |
11 | 37083793a6082 |
12 | 1347758038000 |
13 | 64c077854700 |
14 | 2b7464361440 |
15 | 14c5987232b6 |
hex | a65bfd66900 |
11432126474496 has 1728 divisors, whose sum is σ = 44211150950400. Its totient is φ = 2847397183488.
The previous prime is 11432126474477. The next prime is 11432126474591. The reversal of 11432126474496 is 69447462123411.
11432126474496 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 126 + 474 + 49 + 6 = 666.
11432126474496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16738105771 + ... + 16738106453.
It is an arithmetic number, because the mean of its divisors is an integer number (25585156800).
Almost surely, 211432126474496 is an apocalyptic number.
11432126474496 is a gapful number since it is divisible by the number (16) 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 11432126474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105575475200).
11432126474496 is an abundant number, since it is smaller than the sum of its proper divisors (32779024475904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11432126474496 is a wasteful number, since it uses less digits than its factorization.
11432126474496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 853 (or 820 counting only the distinct ones).
The product of its digits is 6967296, while the sum is 54.
The spelling of 11432126474496 in words is "eleven trillion, four hundred thirty-two billion, one hundred twenty-six million, four hundred seventy-four thousand, four hundred ninety-six".
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