Base | Representation |
---|---|
bin | 111101100101000010111000… |
… | …011000000000000000000000 |
3 | 1022111220202200000000000000000 |
4 | 331211002320120000000000 |
5 | 240444210234041201101 |
6 | 2400000000000000000 |
7 | 111021400256454435 |
oct | 7545027030000000 |
9 | 1274822600000000 |
10 | 270826551115776 |
11 | 79325993742457 |
12 | 26460000000000 |
13 | b816aac926c36 |
14 | 4ac4109ba5b8c |
15 | 2149c47cde486 |
hex | f650b8600000 |
270826551115776 has 396 divisors, whose sum is σ = 812479457539932. Its totient is φ = 90275517038592.
The previous prime is 270826551115733. The next prime is 270826551115777. The reversal of 270826551115776 is 677511155628072.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (3!)15.
270826551115776 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 2 + 6 + 5 + 51 + 1 + 1 + 577 + 6 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (270826551115777) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90275517038591 + 90275517038592 + 90275517038593.
Almost surely, 2270826551115776 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 270826551115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406239728769966).
270826551115776 is an abundant number, since it is smaller than the sum of its proper divisors (541652906424156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
270826551115776 is an frugal number, since it uses more digits than its factorization.
270826551115776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 49392000, while the sum is 63.
The spelling of 270826551115776 in words is "two hundred seventy trillion, eight hundred twenty-six billion, five hundred fifty-one million, one hundred fifteen thousand, seven hundred seventy-six".
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