Base | Representation |
---|---|
bin | 100100011000000000… |
… | …1000101000000000000 |
3 | 21110121222011011120000 |
4 | 1020300001011000000 |
5 | 2234434420002240 |
6 | 55515135320000 |
7 | 5433522355500 |
oct | 1106001050000 |
9 | 243558134500 |
10 | 78115000320 |
11 | 30145976a05 |
12 | 13180680000 |
13 | 749b753aa6 |
14 | 3ad0697a00 |
15 | 2072c75430 |
hex | 1230045000 |
78115000320 has 1170 divisors, whose sum is σ = 336587242266. Its totient is φ = 17278894080.
The previous prime is 78115000319. The next prime is 78115000321. The reversal of 78115000320 is 2300051187.
It is an interprime number because it is at equal distance from previous prime (78115000319) and next prime (78115000321).
It can be written as a sum of positive squares in only one way, i.e., 62492000256 + 15623000064 = 249984^2 + 124992^2 .
It is a super-2 number, since 2×781150003202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (78115000321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2519838705 + ... + 2519838735.
Almost surely, 278115000320 is an apocalyptic number.
78115000320 is a gapful number since it is divisible by the number (70) 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 78115000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168293621133).
78115000320 is an abundant number, since it is smaller than the sum of its proper divisors (258472241946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78115000320 is an equidigital number, since it uses as much as digits as its factorization.
78115000320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The spelling of 78115000320 in words is "seventy-eight billion, one hundred fifteen million, three hundred twenty", and thus it is an aban number.
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