Search a number
-
+
10443046752 = 253272749877
BaseRepresentation
bin10011011100111010…
…00011111101100000
3222221210102202000100
421232131003331200
5132341404444002
64444130422400
7516534301305
oct115635037540
928853382010
1010443046752
114479911656
122035431a00
13ca5721308
14710d310ac
15411c2611c
hex26e743f60

10443046752 has 72 divisors (see below), whose sum is σ = 29738859696. Its totient is φ = 3476157696.

The previous prime is 10443046721. The next prime is 10443046793. The reversal of 10443046752 is 25764034401.

10443046752 is a `hidden beast` number, since 104 + 43 + 0 + 467 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 184438 + ... + 234314.

It is an arithmetic number, because the mean of its divisors is an integer number (413039718).

Almost surely, 210443046752 is an apocalyptic number.

10443046752 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 10443046752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869429848).

10443046752 is an abundant number, since it is smaller than the sum of its proper divisors (19295812944).

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

10443046752 is a wasteful number, since it uses less digits than its factorization.

10443046752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50620 (or 50609 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10443046752 in words is "ten billion, four hundred forty-three million, forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 727 1454 2181 2908 4362 5816 6543 8724 11632 13086 17448 23264 26172 34896 49877 52344 69792 99754 104688 149631 199508 209376 299262 399016 448893 598524 798032 897786 1197048 1596064 1795572 2394096 3591144 4788192 7182288 14364576 36260579 72521158 108781737 145042316 217563474 290084632 326345211 435126948 580169264 652690422 870253896 1160338528 1305380844 1740507792 2610761688 3481015584 5221523376 10443046752