Base | Representation |
---|---|
bin | 101011010111010101… |
… | …1000010101100100000 |
3 | 22220101000210121211001 |
4 | 1112232223002230200 |
5 | 3011204424111112 |
6 | 110440404201344 |
7 | 6504502004011 |
oct | 1265653025440 |
9 | 286330717731 |
10 | 93124832032 |
11 | 365485a3701 |
12 | 1606b399254 |
13 | 8a21332c0b |
14 | 4715d1b008 |
15 | 265087cc57 |
hex | 15aeac2b20 |
93124832032 has 48 divisors (see below), whose sum is σ = 194506152120. Its totient is φ = 43737223168.
The previous prime is 93124831999. The next prime is 93124832033. The reversal of 93124832032 is 23023842139.
It can be written as a sum of positive squares in 4 ways, for example, as 92778723216 + 346108816 = 304596^2 + 18604^2 .
It is a junction number, because it is equal to n+sod(n) for n = 93124831982 and 93124832000.
It is not an unprimeable number, because it can be changed into a prime (93124832033) 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 7 ways as a sum of consecutive naturals, for example, 108738 + ... + 445054.
Almost surely, 293124832032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93124832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97253076060).
93124832032 is an abundant number, since it is smaller than the sum of its proper divisors (101381320088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93124832032 is a wasteful number, since it uses less digits than its factorization.
93124832032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 336853 (or 336845 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 37.
The spelling of 93124832032 in words is "ninety-three billion, one hundred twenty-four million, eight hundred thirty-two thousand, thirty-two".
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