Base | Representation |
---|---|
bin | 1001111001101000… |
… | …10011101101110100 |
3 | 111201102200211222221 |
4 | 10330310103231310 |
5 | 41341210000000 |
6 | 2235233332124 |
7 | 245501260621 |
oct | 47464235564 |
9 | 14642624887 |
10 | 5315312500 |
11 | 228839aa53 |
12 | 1044107044 |
13 | 66928b334 |
14 | 385cdd348 |
15 | 21198c61a |
hex | 13cd13b74 |
5315312500 has 96 divisors (see below), whose sum is σ = 11837079072. Its totient is φ = 2088000000.
The previous prime is 5315312467. The next prime is 5315312501. The reversal of 5315312500 is 52135135.
5315312500 = T12031 + T12032 + ... + T12103.
It can be written as a sum of positive squares in 16 ways, for example, as 1482712036 + 3832600464 = 38506^2 + 61908^2 .
It is a sliding number, since 5315312500 = 195312500 + 5120000000 and 1/195312500 + 1/5120000000 = 0.000000005315312500.
It is a hoax number, since the sum of its digits (25) 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 (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5315312501) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22812384 + ... + 22812616.
It is an arithmetic number, because the mean of its divisors is an integer number (123302907).
Almost surely, 25315312500 is an apocalyptic number.
5315312500 is a gapful number since it is divisible by the number (50) 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 5315312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918539536).
5315312500 is an abundant number, since it is smaller than the sum of its proper divisors (6521766572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5315312500 is an frugal number, since it uses more digits than its factorization.
5315312500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 345 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 2250, while the sum is 25.
The square root of 5315312500 is about 72906.1897235070. The cubic root of 5315312500 is about 1745.1908779358.
Adding to 5315312500 its reverse (52135135), we get a palindrome (5367447635).
The spelling of 5315312500 in words is "five billion, three hundred fifteen million, three hundred twelve thousand, five hundred".
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