Base | Representation |
---|---|
bin | 100100000000111111101… |
… | …000010011111111010110 |
3 | 22202121022211020111122200 |
4 | 210000333220103333112 |
5 | 311022213441212432 |
6 | 5132552424305330 |
7 | 343545013540155 |
oct | 44007750237726 |
9 | 8677284214580 |
10 | 2474968694742 |
11 | 8746a0340145 |
12 | 33b7ba012246 |
13 | 14c5088377cb |
14 | 87b094db59c |
15 | 445a6307a7c |
hex | 2403fa13fd6 |
2474968694742 has 192 divisors, whose sum is σ = 5716405094400. Its totient is φ = 772314681600.
The previous prime is 2474968694741. The next prime is 2474968694773.
2474968694742 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 96 + 8 + 69 + 474 + 2 = 666.
2474968694742 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×24749686947422 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2474968694741) 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, 1563466483 + ... + 1563468065.
It is an arithmetic number, because the mean of its divisors is an integer number (29772943200).
Almost surely, 22474968694742 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2474968694742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858202547200).
2474968694742 is an abundant number, since it is smaller than the sum of its proper divisors (3241436399658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2474968694742 is a wasteful number, since it uses less digits than its factorization.
2474968694742 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2123 (or 2120 counting only the distinct ones).
The product of its digits is 1170505728, while the sum is 72.
The spelling of 2474968694742 in words is "two trillion, four hundred seventy-four billion, nine hundred sixty-eight million, six hundred ninety-four thousand, seven hundred forty-two".
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