Base | Representation |
---|---|
bin | 100101110101001011… |
… | …1010100011101000000 |
3 | 21202200212000101000000 |
4 | 1023222113110131000 |
5 | 2312340244033320 |
6 | 101153301000000 |
7 | 5604144306030 |
oct | 1135227243500 |
9 | 252625011000 |
10 | 81241392960 |
11 | 314aa714a82 |
12 | 138b36b3000 |
13 | 787938cb70 |
14 | 3d099a18c0 |
15 | 21a7483c90 |
hex | 12ea5d4740 |
81241392960 has 1568 divisors, whose sum is σ = 369392728320. Its totient is φ = 16554295296.
The previous prime is 81241392959. The next prime is 81241392961. The reversal of 81241392960 is 6929314218.
It is an interprime number because it is at equal distance from previous prime (81241392959) and next prime (81241392961).
It is a super-2 number, since 2×812413929602 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) 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 (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (81241392961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 912824596 + ... + 912824684.
Almost surely, 281241392960 is an apocalyptic number.
81241392960 is a gapful number since it is divisible by the number (80) 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 81241392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184696364160).
81241392960 is an abundant number, since it is smaller than the sum of its proper divisors (288151335360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81241392960 is a wasteful number, since it uses less digits than its factorization.
81241392960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 45.
The spelling of 81241392960 in words is "eighty-one billion, two hundred forty-one million, three hundred ninety-two thousand, nine hundred sixty".
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