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10544241432 = 2331727079547
BaseRepresentation
bin10011101000111110…
…00101101100011000
31000012211211222000110
421310133011230120
5133043311211212
64502143404320
7522203400444
oct116437055430
930184758013
1010544241432
114520a4971a
1220632b36a0
13cc069281a
14720553824
1541aa64a3c
hex2747c5b18

10544241432 has 64 divisors (see below), whose sum is σ = 27924462720. Its totient is φ = 3306428928.

The previous prime is 10544241413. The next prime is 10544241439. The reversal of 10544241432 is 23414244501.

10544241432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105442414322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10544241432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544241439) 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, 1099683 + ... + 1109229.

It is an arithmetic number, because the mean of its divisors is an integer number (436319730).

Almost surely, 210544241432 is an apocalyptic number.

10544241432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10544241432 is an abundant number, since it is smaller than the sum of its proper divisors (17380221288).

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

10544241432 is a wasteful number, since it uses less digits than its factorization.

10544241432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10544241432 its reverse (23414244501), we get a palindrome (33958485933).

The spelling of 10544241432 in words is "ten billion, five hundred forty-four million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 2707 5414 8121 9547 10828 16242 19094 21656 28641 32484 38188 46019 57282 64968 76376 92038 114564 138057 162299 184076 229128 276114 324598 368152 486897 552228 649196 973794 1104456 1298392 1947588 3895176 25843729 51687458 77531187 103374916 155062374 206749832 310124748 439343393 620249496 878686786 1318030179 1757373572 2636060358 3514747144 5272120716 10544241432