Search a number
-
+
10864023852 = 223111137191013
BaseRepresentation
bin10100001111000101…
…11101100100101100
31001001010120121000210
422013202331210230
5134222142230402
64554005422420
7533135451633
oct120742754454
931033517023
1010864023852
114675504a10
12213240aa10
1310419c89a6
14750bd651a
15438b8006c
hex2878bd92c

10864023852 has 96 divisors (see below), whose sum is σ = 27964984320. Its totient is φ = 3255239680.

The previous prime is 10864023773. The next prime is 10864023857. The reversal of 10864023852 is 25832046801.

10864023852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10864023852.

It is not an unprimeable number, because it can be changed into a prime (10864023857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10724098 + ... + 10725110.

It is an arithmetic number, because the mean of its divisors is an integer number (291301920).

Almost surely, 210864023852 is an apocalyptic number.

10864023852 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 10864023852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982492160).

10864023852 is an abundant number, since it is smaller than the sum of its proper divisors (17100960468).

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

10864023852 is a wasteful number, since it uses less digits than its factorization.

10864023852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 10864023852 in words is "ten billion, eight hundred sixty-four million, twenty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 719 1013 1243 1356 1438 2026 2157 2486 2876 3039 3729 4052 4314 4972 6078 7458 7909 8628 11143 12156 14916 15818 22286 23727 31636 33429 44572 47454 66858 81247 94908 114469 133716 162494 228938 243741 324988 343407 457876 487482 686814 728347 893717 974964 1259159 1373628 1456694 1787434 2185041 2518318 2681151 2913388 3574868 3777477 4370082 5036636 5362302 7554954 8011817 8740164 10724604 15109908 16023634 24035451 32047268 48070902 82303211 96141804 164606422 246909633 329212844 493819266 905335321 987638532 1810670642 2716005963 3621341284 5432011926 10864023852