Base | Representation |
---|---|
bin | 100001111110100100… |
… | …1101111101010101111 |
3 | 20222100011122201211110 |
4 | 1003331021233222233 |
5 | 2143413431320202 |
6 | 53304224523103 |
7 | 5162116302240 |
oct | 1037511575257 |
9 | 228304581743 |
10 | 72966666927 |
11 | 28a43865920 |
12 | 12184480493 |
13 | 6b5ac5aa7b |
14 | 3762a22cc7 |
15 | 1d70cbd26c |
hex | 10fd26faaf |
72966666927 has 64 divisors (see below), whose sum is σ = 126990581760. Its totient is φ = 36156489600.
The previous prime is 72966666911. The next prime is 72966666931.
72966666927 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 72966666927 - 24 = 72966666911 is a prime.
It is a super-3 number, since 3×729666669273 (a number of 34 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (72966666907) 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 63 ways as a sum of consecutive naturals, for example, 490402 + ... + 621632.
It is an arithmetic number, because the mean of its divisors is an integer number (1984227840).
Almost surely, 272966666927 is an apocalyptic number.
72966666927 is a gapful number since it is divisible by the number (77) formed by its first and last digit.
72966666927 is a deficient number, since it is larger than the sum of its proper divisors (54023914833).
72966666927 is a wasteful number, since it uses less digits than its factorization.
72966666927 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131364.
The product of its digits is 123451776, while the sum is 66.
The spelling of 72966666927 in words is "seventy-two billion, nine hundred sixty-six million, six hundred sixty-six thousand, nine hundred twenty-seven".
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