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13435591744 = 26144892
BaseRepresentation
bin11001000001101001…
…01101110001000000
31021200100102210000001
430200310231301000
5210004002413434
610101111205344
7653642434261
oct144064556100
937610383001
1013435591744
11577504aa33
12272b676854
1313616c54b3
14916556968
155397e6114
hex320d2dc40

13435591744 has 21 divisors (see below), whose sum is σ = 26663092597. Its totient is φ = 6717332224.

The previous prime is 13435591721. The next prime is 13435591753. The reversal of 13435591744 is 44719553431.

The square root of 13435591744 is 115912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1943751744 + 11491840000 = 44088^2 + 107200^2 .

It is a super-2 number, since 2×134355917442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13435591694 and 13435591703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 920052 + ... + 934540.

Almost surely, 213435591744 is an apocalyptic number.

13435591744 is the 115912-nd square number.

It is an amenable number.

13435591744 is a deficient number, since it is larger than the sum of its proper divisors (13227500853).

13435591744 is an frugal number, since it uses more digits than its factorization.

13435591744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28990 (or 14491 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The spelling of 13435591744 in words is "thirteen billion, four hundred thirty-five million, five hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 14489 28978 57956 115912 231824 463648 927296 209931121 419862242 839724484 1679448968 3358897936 6717795872 13435591744