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13257910449 = 327254832
BaseRepresentation
bin11000101100011101…
…11010100010110001
31021012222002122002100
430112032322202301
5204123011113244
610031323011013
7646354244100
oct142616724261
937188078070
1013257910449
115693821393
1226a0069a69
131333953b34
148dab04037
15528de9b69
hex3163ba8b1

13257910449 has 27 divisors (see below), whose sum is σ = 22280960793. Its totient is φ = 7574567112.

The previous prime is 13257910441. The next prime is 13257910451. The reversal of 13257910449 is 94401975231.

The square root of 13257910449 is 115143.

It is a perfect power (a square), and thus also a powerful number.

13257910449 is a `hidden beast` number, since 1 + 32 + 579 + 1 + 0 + 4 + 49 = 666.

13257910449 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 13257910449 - 23 = 13257910441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13257910441) 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 26 ways as a sum of consecutive naturals, for example, 2415262 + ... + 2420744.

Almost surely, 213257910449 is an apocalyptic number.

13257910449 is the 115143-rd square number.

13257910449 is the 57572-nd centered octagonal number.

It is an amenable number.

13257910449 is a deficient number, since it is larger than the sum of its proper divisors (9023050344).

13257910449 is an frugal number, since it uses more digits than its factorization.

13257910449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13257910449 in words is "thirteen billion, two hundred fifty-seven million, nine hundred ten thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 5483 16449 38381 49347 115143 268667 345429 806001 2418003 30063289 90189867 210443023 270569601 631329069 1473101161 1893987207 4419303483 13257910449