Base | Representation |
---|---|
bin | 1011111000111011001111… |
… | …00111011101111100000000 |
3 | 10102120110100020120022021000 |
4 | 11330131213213131330000 |
5 | 11411330334302031430 |
6 | 131334535133532000 |
7 | 5335633352000622 |
oct | 574354747357400 |
9 | 112513306508230 |
10 | 26145204330240 |
11 | 83701342709a6 |
12 | 2b23148044000 |
13 | 11786364a6668 |
14 | 665612928c12 |
15 | 30516b8a8e60 |
hex | 17c7679ddf00 |
26145204330240 has 1152 divisors, whose sum is σ = 97474334791680. Its totient is φ = 6629917851648.
The previous prime is 26145204330199. The next prime is 26145204330241. The reversal of 26145204330240 is 4203340254162.
26145204330240 is a `hidden beast` number, since 2 + 6 + 145 + 204 + 3 + 302 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 26145204330195 and 26145204330204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26145204330241) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10790425669 + ... + 10790428091.
It is an arithmetic number, because the mean of its divisors is an integer number (84613137840).
Almost surely, 226145204330240 is an apocalyptic number.
26145204330240 is a gapful number since it is divisible by the number (20) 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 26145204330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48737167395840).
26145204330240 is an abundant number, since it is smaller than the sum of its proper divisors (71329130461440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26145204330240 is a wasteful number, since it uses less digits than its factorization.
26145204330240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2686 (or 2666 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 26145204330240 in words is "twenty-six trillion, one hundred forty-five billion, two hundred four million, three hundred thirty thousand, two hundred forty".
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