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13764304745 = 5171011603297
BaseRepresentation
bin11001101000110101…
…01001111101101001
31022112020222010110122
430310122221331221
5211142130222440
610153452453025
7665043442232
oct146432517551
938466863418
1013764304745
115923655974
12280177a175
1313b4837529
14948082089
155585c77b5
hex3346a9f69

13764304745 has 16 divisors (see below), whose sum is σ = 17661930768. Its totient is φ = 10261094400.

The previous prime is 13764304727. The next prime is 13764304811. The reversal of 13764304745 is 54740346731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23541904 + 13740762841 = 4852^2 + 117221^2 .

It is not a de Polignac number, because 13764304745 - 214 = 13764288361 is a prime.

It is a super-2 number, since 2×137643047452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13764304696 and 13764304705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793064 + ... + 810233.

It is an arithmetic number, because the mean of its divisors is an integer number (1103870673).

Almost surely, 213764304745 is an apocalyptic number.

It is an amenable number.

13764304745 is a deficient number, since it is larger than the sum of its proper divisors (3897626023).

13764304745 is a wasteful number, since it uses less digits than its factorization.

13764304745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603420.

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 13764304745 in words is "thirteen billion, seven hundred sixty-four million, three hundred four thousand, seven hundred forty-five".

Divisors: 1 5 17 85 101 505 1717 8585 1603297 8016485 27256049 136280245 161932997 809664985 2752860949 13764304745