Base | Representation |
---|---|
bin | 11000111011000001… |
… | …011000110001100000 |
3 | 2120001221201000200000 |
4 | 120323001120301200 |
5 | 414301031220021 |
6 | 20143212100000 |
7 | 1635065305110 |
oct | 307301306140 |
9 | 76057630600 |
10 | 26760023136 |
11 | 10392376500 |
12 | 5229a64600 |
13 | 26a606a422 |
14 | 141c015040 |
15 | a69480b26 |
hex | 63b058c60 |
26760023136 has 864 divisors, whose sum is σ = 105406479360. Its totient is φ = 6514421760.
The previous prime is 26760023063. The next prime is 26760023137. The reversal of 26760023136 is 63132006762.
26760023136 is a `hidden beast` number, since 26 + 7 + 600 + 23 + 1 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 26760023136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26760023137) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111966505 + ... + 111966743.
It is an arithmetic number, because the mean of its divisors is an integer number (121998240).
Almost surely, 226760023136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 26760023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52703239680).
26760023136 is an abundant number, since it is smaller than the sum of its proper divisors (78646456224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26760023136 is a wasteful number, since it uses less digits than its factorization.
26760023136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 310 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
Adding to 26760023136 its reverse (63132006762), we get a palindrome (89892029898).
The spelling of 26760023136 in words is "twenty-six billion, seven hundred sixty million, twenty-three thousand, one hundred thirty-six".
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