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13556804640 = 253528243343
BaseRepresentation
bin11001010000000110…
…00110110000100000
31021222210112000211120
430220003012300200
5210231020222030
610121121212240
7656643636531
oct145003066040
937883460746
1013556804640
11582750aa85
122764191080
1313808554c2
149286aa688
1554528b010
hex3280c6c20

13556804640 has 48 divisors (see below), whose sum is σ = 42703936128. Its totient is φ = 3615147776.

The previous prime is 13556804621. The next prime is 13556804671. The reversal of 13556804640 is 4640865531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13556804592 and 13556804601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14121192 + ... + 14122151.

It is an arithmetic number, because the mean of its divisors is an integer number (889665336).

Almost surely, 213556804640 is an apocalyptic number.

13556804640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13556804640 is an abundant number, since it is smaller than the sum of its proper divisors (29147131488).

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

13556804640 is a wasteful number, since it uses less digits than its factorization.

13556804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28243361 (or 28243353 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 13556804640 in words is "thirteen billion, five hundred fifty-six million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28243343 56486686 84730029 112973372 141216715 169460058 225946744 282433430 338920116 423650145 451893488 564866860 677840232 847300290 903786976 1129733720 1355680464 1694600580 2259467440 2711360928 3389201160 4518934880 6778402320 13556804640