Base | Representation |
---|---|
bin | 110000100110010000101110… |
… | …1001011111100110001011000 |
3 | 2002001112211112202002021202000 |
4 | 1201030201131023330301120 |
5 | 422012141222010344010 |
6 | 4113053255310241000 |
7 | 156016523400665400 |
oct | 14114413513746130 |
9 | 2061484482067660 |
10 | 427471068449880 |
11 | 114229509aa0674 |
12 | 3bb3a90bab6160 |
13 | 1546a46c398040 |
14 | 777b9d2761800 |
15 | 34647843c07c0 |
hex | 184c85d2fcc58 |
427471068449880 has 3072 divisors, whose sum is σ = 1917570557952000. Its totient is φ = 83656824717312.
The previous prime is 427471068449869. The next prime is 427471068449939. The reversal of 427471068449880 is 88944860174724.
427471068449880 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 71 + 0 + 68 + 4 + 498 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 427471068449799 and 427471068449808.
It is a congruent number.
It is an unprimeable number.
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 767 ways as a sum of consecutive naturals, for example, 481929050797 + ... + 481929051683.
It is an arithmetic number, because the mean of its divisors is an integer number (624209166000).
Almost surely, 2427471068449880 is an apocalyptic number.
427471068449880 is a gapful number since it is divisible by the number (40) 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 427471068449880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958785278976000).
427471068449880 is an abundant number, since it is smaller than the sum of its proper divisors (1490099489502120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427471068449880 is a wasteful number, since it uses less digits than its factorization.
427471068449880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1503 (or 1486 counting only the distinct ones).
The product of its (nonzero) digits is 693633024, while the sum is 72.
The spelling of 427471068449880 in words is "four hundred twenty-seven trillion, four hundred seventy-one billion, sixty-eight million, four hundred forty-nine thousand, eight hundred eighty".
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