Base | Representation |
---|---|
bin | 100110111111001111… |
… | …0111100100000000000 |
3 | 22000010001000211012100 |
4 | 1031332132330200000 |
5 | 2332432430414333 |
6 | 102244031430400 |
7 | 6022550553522 |
oct | 1157636744000 |
9 | 260101024170 |
10 | 83726419968 |
11 | 32565421604 |
12 | 14287985400 |
13 | 7b84179049 |
14 | 40a3a35a12 |
15 | 22a0703213 |
hex | 137e7bc800 |
83726419968 has 72 divisors (see below), whose sum is σ = 241817325750. Its totient is φ = 27908800512.
The previous prime is 83726419957. The next prime is 83726419991. The reversal of 83726419968 is 86991462738.
It can be written as a sum of positive squares in only one way, i.e., 83331523584 + 394896384 = 288672^2 + 19872^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×837264199682 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2252793 + ... + 2289656.
Almost surely, 283726419968 is an apocalyptic number.
It is an amenable number.
83726419968 is an abundant number, since it is smaller than the sum of its proper divisors (158090905782).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83726419968 is a wasteful number, since it uses less digits than its factorization.
83726419968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4542477 (or 4542454 counting only the distinct ones).
The product of its digits is 31352832, while the sum is 63.
The spelling of 83726419968 in words is "eighty-three billion, seven hundred twenty-six million, four hundred nineteen thousand, nine hundred sixty-eight".
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