Base | Representation |
---|---|
bin | 111111100110000010… |
… | …1010010000000000000 |
3 | 111001111122122021202200 |
4 | 1333030011102000000 |
5 | 4214142342011223 |
6 | 142423300313200 |
7 | 12603165122001 |
oct | 1771405220000 |
9 | 431448567680 |
10 | 136567922688 |
11 | 52a1103970a |
12 | 225743a2800 |
13 | cb55817812 |
14 | 68778b11a8 |
15 | 384477ea43 |
hex | 1fcc152000 |
136567922688 has 126 divisors (see below), whose sum is σ = 394795551657. Its totient is φ = 45489192960.
The previous prime is 136567922633. The next prime is 136567922759. The reversal of 136567922688 is 886229765631.
It is a happy number.
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.
136567922688 is a `hidden beast` number, since 1 + 3 + 6 + 567 + 9 + 2 + 2 + 68 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 119572107264 + 16995815424 = 345792^2 + 130368^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=261312.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100343128 + ... + 100344488.
Almost surely, 2136567922688 is an apocalyptic number.
136567922688 is a gapful number since it is divisible by the number (18) 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 136567922688
136567922688 is an abundant number, since it is smaller than the sum of its proper divisors (258227628969).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136567922688 is an frugal number, since it uses more digits than its factorization.
136567922688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2754 (or 1366 counting only the distinct ones).
The product of its digits is 52254720, while the sum is 63.
The spelling of 136567922688 in words is "one hundred thirty-six billion, five hundred sixty-seven million, nine hundred twenty-two thousand, six hundred eighty-eight".
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