Base | Representation |
---|---|
bin | 111100000000011111010111… |
… | …011000101000110100010110 |
3 | 1021121110011112111101200111200 |
4 | 330000133113120220310112 |
5 | 234043001412030404043 |
6 | 2333145315130413330 |
7 | 106406223062542500 |
oct | 7400372730506426 |
9 | 1247404474350450 |
10 | 263916468997398 |
11 | 77101389508478 |
12 | 25724943591246 |
13 | b4352a70cb229 |
14 | 49258a79b2d70 |
15 | 207a11664a7d3 |
hex | f007d7628d16 |
263916468997398 has 144 divisors (see below), whose sum is σ = 689226064722000. Its totient is φ = 72686922424704.
The previous prime is 263916468997373. The next prime is 263916468997399. The reversal of 263916468997398 is 893799864619362.
263916468997398 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 16 + 46 + 89 + 97 + 398 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (263916468997399) 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 71 ways as a sum of consecutive naturals, for example, 7498288 + ... + 24167276.
It is an arithmetic number, because the mean of its divisors is an integer number (4786292116125).
Almost surely, 2263916468997398 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 263916468997398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344613032361000).
263916468997398 is an abundant number, since it is smaller than the sum of its proper divisors (425309595724602).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263916468997398 is a wasteful number, since it uses less digits than its factorization.
263916468997398 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16669659 (or 16669649 counting only the distinct ones).
The product of its digits is 45712429056, while the sum is 90.
The spelling of 263916468997398 in words is "two hundred sixty-three trillion, nine hundred sixteen billion, four hundred sixty-eight million, nine hundred ninety-seven thousand, three hundred ninety-eight".
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