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13664406625 = 53176430309
BaseRepresentation
bin11001011100111011…
…00100110001100001
31022021021222210000021
430232131210301201
5210441042003000
610135523353441
7662421353122
oct145635446141
938237883007
1013664406625
115882223a41
122794222881
131399c2b20c
14938aba049
1554e94311a
hex32e764c61

13664406625 has 16 divisors (see below), whose sum is σ = 18056310480. Its totient is φ = 10288492800.

The previous prime is 13664406541. The next prime is 13664406647. The reversal of 13664406625 is 52660446631.

13664406625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6169002849 + 7495403776 = 78543^2 + 86576^2 .

It is not a de Polignac number, because 13664406625 - 29 = 13664406113 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 3213030 + ... + 3217279.

It is an arithmetic number, because the mean of its divisors is an integer number (1128519405).

Almost surely, 213664406625 is an apocalyptic number.

It is an amenable number.

13664406625 is a deficient number, since it is larger than the sum of its proper divisors (4391903855).

13664406625 is an equidigital number, since it uses as much as digits as its factorization.

13664406625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430341 (or 6430331 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 13664406625 in words is "thirteen billion, six hundred sixty-four million, four hundred six thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 6430309 32151545 109315253 160757725 546576265 803788625 2732881325 13664406625