Search a number
-
+
10033403232 = 253413976421
BaseRepresentation
bin10010101100000100…
…11001010101100000
3221220020121200202010
421112002121111200
5131022022400412
64335334352520
7503431343316
oct112602312540
927806550663
1010033403232
11428965a396
121b401bb740
13c3b8b44b8
146b277a0b6
153dacaa33c
hex256099560

10033403232 has 96 divisors (see below), whose sum is σ = 27052238304. Its totient is φ = 3254169600.

The previous prime is 10033403203. The next prime is 10033403243. The reversal of 10033403232 is 23230433001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10033403199 and 10033403208.

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 15 ways as a sum of consecutive naturals, for example, 1559382 + ... + 1565802.

It is an arithmetic number, because the mean of its divisors is an integer number (281794149).

Almost surely, 210033403232 is an apocalyptic number.

10033403232 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 10033403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526119152).

10033403232 is an abundant number, since it is smaller than the sum of its proper divisors (17018835072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10033403232 is a wasteful number, since it uses less digits than its factorization.

10033403232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10033403232 its reverse (23230433001), we get a palindrome (33263836233).

The spelling of 10033403232 in words is "ten billion, thirty-three million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 397 492 656 794 984 1191 1312 1588 1968 2382 3176 3936 4764 6352 6421 9528 12704 12842 16277 19056 19263 25684 32554 38112 38526 48831 51368 65108 77052 97662 102736 130216 154104 195324 205472 260432 263261 308208 390648 520864 526522 616416 781296 789783 1053044 1562592 1579566 2106088 2549137 3159132 4212176 5098274 6318264 7647411 8424352 10196548 12636528 15294822 20393096 25273056 30589644 40786192 61179288 81572384 104514617 122358576 209029234 244717152 313543851 418058468 627087702 836116936 1254175404 1672233872 2508350808 3344467744 5016701616 10033403232