Base | Representation |
---|---|
bin | 10011010010111010… |
… | …01110011000000000 |
3 | 222201221200001110100 |
4 | 21221131032120000 |
5 | 132203424001303 |
6 | 4431533402400 |
7 | 514465526655 |
oct | 115135163000 |
9 | 28657601410 |
10 | 10359203328 |
11 | 4436555871 |
12 | 2011339400 |
13 | c91246716 |
14 | 703b47c2c |
15 | 4096b38a3 |
hex | 26974e600 |
10359203328 has 120 divisors (see below), whose sum is σ = 30127341816. Its totient is φ = 3426708480.
The previous prime is 10359203293. The next prime is 10359203341. The reversal of 10359203328 is 82330295301.
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.
10359203328 is a `hidden beast` number, since 10 + 3 + 592 + 0 + 33 + 28 = 666.
It is a super-3 number, since 3×103592033283 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10359203292 and 10359203301.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79077823 + ... + 79077953.
Almost surely, 210359203328 is an apocalyptic number.
10359203328 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 10359203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063670908).
10359203328 is an abundant number, since it is smaller than the sum of its proper divisors (19768138488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10359203328 is an frugal number, since it uses more digits than its factorization.
10359203328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 417 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
Adding to 10359203328 its reverse (82330295301), we get a palindrome (92689498629).
The spelling of 10359203328 in words is "ten billion, three hundred fifty-nine million, two hundred three thousand, three hundred twenty-eight".
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