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14384735649 = 3567213187
BaseRepresentation
bin11010110010110010…
…11010010110100001
31101010111102021200000
431121121122112201
5213424443020044
610335214450213
71016316143544
oct153131322641
941114367600
1014384735649
116111898889
122955503969
1314832376cb
149a662685b
15592ccdd69
hex35965a5a1

14384735649 has 36 divisors (see below), whose sum is σ = 21875568624. Its totient is φ = 9445975704.

The previous prime is 14384735641. The next prime is 14384735683. The reversal of 14384735649 is 94653748341.

14384735649 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 4 + 73 + 564 + 9 = 666.

14384735649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14384735649 - 23 = 14384735641 is a prime.

It is a super-2 number, since 2×143847356492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14384735595 and 14384735604.

It is not an unprimeable number, because it can be changed into a prime (14384735641) 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 35 ways as a sum of consecutive naturals, for example, 1084234 + ... + 1097420.

It is an arithmetic number, because the mean of its divisors is an integer number (607654684).

Almost surely, 214384735649 is an apocalyptic number.

It is an amenable number.

14384735649 is a deficient number, since it is larger than the sum of its proper divisors (7490832975).

14384735649 is an frugal number, since it uses more digits than its factorization.

14384735649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13257 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 14384735649 in words is "fourteen billion, three hundred eighty-four million, seven hundred thirty-five thousand, six hundred forty-nine".

Divisors: 1 3 9 27 67 81 201 243 603 1809 4489 5427 13187 13467 16281 39561 40401 118683 121203 356049 363609 883529 1068147 1090827 2650587 3204441 7951761 23855283 59196443 71565849 177589329 214697547 532767987 1598303961 4794911883 14384735649