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10823325144 = 2337323572621
BaseRepresentation
bin10100001010001111…
…01101010111011000
31000221021222212220020
422011013231113120
5134131232401034
64545553230440
7532132513542
oct120507552730
930837885806
1010823325144
114654537415
122120862420
131036449108
14749640692
154352e1249
hex2851ed5d8

10823325144 has 64 divisors (see below), whose sum is σ = 27451081440. Its totient is φ = 3555486720.

The previous prime is 10823325143. The next prime is 10823325173. The reversal of 10823325144 is 44152332801.

10823325144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10823325143) 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 15 ways as a sum of consecutive naturals, for example, 4128154 + ... + 4130774.

Almost surely, 210823325144 is an apocalyptic number.

It is an amenable number.

10823325144 is an abundant number, since it is smaller than the sum of its proper divisors (16627756296).

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

10823325144 is a wasteful number, since it uses less digits than its factorization.

10823325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10823325144 its reverse (44152332801), we get a palindrome (54975657945).

The spelling of 10823325144 in words is "ten billion, eight hundred twenty-three million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 2357 2621 4714 5242 7071 7863 9428 10484 14142 15726 18856 20968 28284 31452 56568 62904 172061 191333 344122 382666 516183 573999 688244 765332 1032366 1147998 1376488 1530664 2064732 2295996 4129464 4591992 6177697 12355394 18533091 24710788 37066182 49421576 74132364 148264728 450971881 901943762 1352915643 1803887524 2705831286 3607775048 5411662572 10823325144