Search a number
-
+
13554402112 = 2671242013
BaseRepresentation
bin11001001111110011…
…11100001101000000
31021222121222222012001
430213321330031000
5210224411331422
610120553513344
7656614342216
oct144771741500
937877888161
1013554402112
115826119a19
122763412854
1313801c3aa4
14928242cb6
15544e64227
hex327e7c340

13554402112 has 42 divisors (see below), whose sum is σ = 27281832914. Its totient is φ = 6681588480.

The previous prime is 13554402091. The next prime is 13554402119. The reversal of 13554402112 is 21120445531.

13554402112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12648151296 + 906250816 = 112464^2 + 30104^2 .

It is a super-2 number, since 2×135544021122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13554402119) 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 5 ways as a sum of consecutive naturals, for example, 301618 + ... + 343630.

Almost surely, 213554402112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13554402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640916457).

13554402112 is an abundant number, since it is smaller than the sum of its proper divisors (13727430802).

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

13554402112 is an frugal number, since it uses more digits than its factorization.

13554402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42167 (or 42086 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 13554402112 its reverse (21120445531), we get a palindrome (34674847643).

The spelling of 13554402112 in words is "thirteen billion, five hundred fifty-four million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 5041 10082 20164 40328 42013 80656 84026 161312 168052 322624 336104 672208 1344416 2688832 2982923 5965846 11931692 23863384 47726768 95453536 190907072 211787533 423575066 847150132 1694300264 3388600528 6777201056 13554402112