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13737605005 = 56673411737
BaseRepresentation
bin11001100101101001…
…10011011110001101
31022110101201122022101
430302310303132031
5211113311330010
610151100315101
7664300500355
oct146264633615
938411648271
1013737605005
11590a579a73
1227b4842a91
1313ac149777
149446d1b65
155560a173a
hex332d3378d

13737605005 has 8 divisors (see below), whose sum is σ = 16487636472. Its totient is φ = 10988410368.

The previous prime is 13737605003. The next prime is 13737605023. The reversal of 13737605005 is 50050673731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 155800324 + 13581804681 = 12482^2 + 116541^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13737605005 - 21 = 13737605003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13737605003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 172504 + ... + 239233.

It is an arithmetic number, because the mean of its divisors is an integer number (2060954559).

Almost surely, 213737605005 is an apocalyptic number.

It is an amenable number.

13737605005 is a deficient number, since it is larger than the sum of its proper divisors (2750031467).

13737605005 is an equidigital number, since it uses as much as digits as its factorization.

13737605005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418415.

The product of its (nonzero) digits is 66150, while the sum is 37.

The spelling of 13737605005 in words is "thirteen billion, seven hundred thirty-seven million, six hundred five thousand, five".

Divisors: 1 5 6673 33365 411737 2058685 2747521001 13737605005