Base | Representation |
---|---|
bin | 111011001110011001001001… |
… | …000010010011111111010000 |
3 | 1021011021001102210211211121200 |
4 | 323032121021002103333100 |
5 | 233120100331331214034 |
6 | 2321552003422551200 |
7 | 105602416610643054 |
oct | 7316311102237720 |
9 | 1234231383754550 |
10 | 260473811976144 |
11 | 75aa436135aa28 |
12 | 252696a0738500 |
13 | b245762591620 |
14 | 4846ddd503c64 |
15 | 201a7c5630a99 |
hex | ece649093fd0 |
260473811976144 has 240 divisors, whose sum is σ = 806362534150992. Its totient is φ = 77969420992512.
The previous prime is 260473811976137. The next prime is 260473811976149. The reversal of 260473811976144 is 441679118374062.
It is a happy number.
260473811976144 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 7 + 3 + 8 + 1 + 1 + 9 + 7 + 614 + 4 = 666.
260473811976144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 2266193030544 + 258207618945600 = 1505388^2 + 16068840^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (260473811976149) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534266632 + ... + 534753944.
Almost surely, 2260473811976144 is an apocalyptic number.
260473811976144 is a gapful number since it is divisible by the number (24) 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 260473811976144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403181267075496).
260473811976144 is an abundant number, since it is smaller than the sum of its proper divisors (545888722174848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260473811976144 is a wasteful number, since it uses less digits than its factorization.
260473811976144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 495094 (or 495085 counting only the distinct ones).
The product of its (nonzero) digits is 48771072, while the sum is 63.
The spelling of 260473811976144 in words is "two hundred sixty trillion, four hundred seventy-three billion, eight hundred eleven million, nine hundred seventy-six thousand, one hundred forty-four".
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