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13057056349 = 41373853793
BaseRepresentation
bin11000010100100001…
…01101111001011101
31020200222011012001121
430022100231321131
5203220101300344
65555350010541
7641365101451
oct141220557135
936628135047
1013057056349
1155a0405767
122644946a51
13130115ab5c
148bc17c661
15516472684
hex30a42de5d

13057056349 has 8 divisors (see below), whose sum is σ = 13411396152. Its totient is φ = 12704424960.

The previous prime is 13057056347. The next prime is 13057056379. The reversal of 13057056349 is 94365075031.

13057056349 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 4 ways, for example, as 177076249 + 12879980100 = 13307^2 + 113490^2 .

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 13057056349 - 21 = 13057056347 is a prime.

It is a super-2 number, since 2×130570563492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057056347) 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 7 ways as a sum of consecutive naturals, for example, 411604 + ... + 442189.

It is an arithmetic number, because the mean of its divisors is an integer number (1676424519).

Almost surely, 213057056349 is an apocalyptic number.

It is an amenable number.

13057056349 is a deficient number, since it is larger than the sum of its proper divisors (354339803).

13057056349 is an equidigital number, since it uses as much as digits as its factorization.

13057056349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854207.

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 13057056349 in words is "thirteen billion, fifty-seven million, fifty-six thousand, three hundred forty-nine".

Divisors: 1 41 373 15293 853793 35005513 318464789 13057056349