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13324906144 = 2511148925423
BaseRepresentation
bin11000110100011100…
…11110111010100000
31021101122011100220101
430122032132322200
5204242133444034
610042114552144
7651126555604
oct143216367240
937348140811
1013324906144
115718620230
1226ba598654
1313447b0064
14905983504
1552ec30514
hex31a39eea0

13324906144 has 48 divisors (see below), whose sum is σ = 28638610560. Its totient is φ = 6052469760.

The previous prime is 13324906103. The next prime is 13324906159. The reversal of 13324906144 is 44160942331.

13324906144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 511417 + ... + 536839.

It is an arithmetic number, because the mean of its divisors is an integer number (596637720).

Almost surely, 213324906144 is an apocalyptic number.

It is an amenable number.

13324906144 is an abundant number, since it is smaller than the sum of its proper divisors (15313704416).

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

13324906144 is a wasteful number, since it uses less digits than its factorization.

13324906144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26933 (or 26925 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 13324906144 in words is "thirteen billion, three hundred twenty-four million, nine hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1489 2978 5956 11912 16379 23824 25423 32758 47648 50846 65516 101692 131032 203384 262064 279653 406768 524128 559306 813536 1118612 2237224 4474448 8948896 37854847 75709694 151419388 302838776 416403317 605677552 832806634 1211355104 1665613268 3331226536 6662453072 13324906144