Base | Representation |
---|---|
bin | 10011100011001110… |
… | …00100110100000000 |
3 | 1000002111002012210000 |
4 | 21301213010310000 |
5 | 132443434101303 |
6 | 4453301440000 |
7 | 521046361536 |
oct | 116147046400 |
9 | 30074065700 |
10 | 10496003328 |
11 | 44a67a1718 |
12 | 204b110000 |
13 | cb36a3375 |
14 | 717d98156 |
15 | 4166d6da3 |
hex | 2719c4d00 |
10496003328 has 90 divisors (see below), whose sum is σ = 31297244594. Its totient is φ = 3498660864.
The previous prime is 10496003311. The next prime is 10496003339. The reversal of 10496003328 is 82330069401.
10496003328 is a `hidden beast` number, since 1 + 0 + 49 + 600 + 3 + 3 + 2 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 7144982784 + 3351020544 = 84528^2 + 57888^2 .
It is a super-2 number, since 2×104960033282 (a number of 21 digits) contains 22 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 = 10496003292 and 10496003301.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 232351 + ... + 273822.
Almost surely, 210496003328 is an apocalyptic number.
10496003328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
10496003328 is an abundant number, since it is smaller than the sum of its proper divisors (20801241266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10496003328 is an frugal number, since it uses more digits than its factorization.
10496003328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 506201 (or 506178 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 10496003328 in words is "ten billion, four hundred ninety-six million, three thousand, three hundred twenty-eight".
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