Base | Representation |
---|---|
bin | 10011111010011001… |
… | …01000100011100000 |
3 | 1000121000212111201200 |
4 | 21331030220203200 |
5 | 133343220222212 |
6 | 4524444201200 |
7 | 525626613240 |
oct | 117514504340 |
9 | 30530774650 |
10 | 10690398432 |
11 | 45964a662a |
12 | 20a4239200 |
13 | 1014a4745c |
14 | 735b1bb20 |
15 | 4287d56dc |
hex | 27d3288e0 |
10690398432 has 144 divisors (see below), whose sum is σ = 35233615872. Its totient is φ = 3011339520.
The previous prime is 10690398427. The next prime is 10690398449. The reversal of 10690398432 is 23489309601.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×106903984322 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105793 + ... + 180479.
It is an arithmetic number, because the mean of its divisors is an integer number (244677888).
Almost surely, 210690398432 is an apocalyptic number.
10690398432 is a gapful number since it is divisible by the number (12) 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 10690398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616807936).
10690398432 is an abundant number, since it is smaller than the sum of its proper divisors (24543217440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10690398432 is a wasteful number, since it uses less digits than its factorization.
10690398432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74781 (or 74770 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The spelling of 10690398432 in words is "ten billion, six hundred ninety million, three hundred ninety-eight thousand, four hundred thirty-two".
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