| Base | Representation |
|---|---|
| bin | 10000011110101100111111… |
| … | …001111100000001100101000 |
| 3 | 100111121220000122001121221100 |
| 4 | 100132230333033200030220 |
| 5 | 33444442220320224043 |
| 6 | 414052120323241400 |
| 7 | 21160260056205600 |
| oct | 2036547717401450 |
| 9 | 314556018047840 |
| 10 | 72478634148648 |
| 11 | 2110401a510012 |
| 12 | 8166a17b19260 |
| 13 | 3159923a5ab40 |
| 14 | 13c7dadaadc00 |
| 15 | 85a5079ddcd3 |
| hex | 41eb3f3e0328 |
72478634148648 has 576 divisors, whose sum is σ = 267202437465600. Its totient is φ = 17525005102080.
The previous prime is 72478634148637. The next prime is 72478634148649. The reversal of 72478634148648 is 84684143687427.
It is a happy number.
72478634148648 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 8 + 63 + 41 + 486 + 48 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (72478634148649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25672390 + ... + 28355402.
It is an arithmetic number, because the mean of its divisors is an integer number (463893120600).
Almost surely, 272478634148648 is an apocalyptic number.
72478634148648 is a gapful number since it is divisible by the number (78) 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 72478634148648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133601218732800).
72478634148648 is an abundant number, since it is smaller than the sum of its proper divisors (194723803316952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72478634148648 is a wasteful number, since it uses less digits than its factorization.
72478634148648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2683102 (or 2683088 counting only the distinct ones).
The product of its digits is 1387266048, while the sum is 72.
The spelling of 72478634148648 in words is "seventy-two trillion, four hundred seventy-eight billion, six hundred thirty-four million, one hundred forty-eight thousand, six hundred forty-eight".
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