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13496630625 = 325415492
BaseRepresentation
bin11001001000111011…
…00011110101100001
31021211121021212121100
430210131203311201
5210120114140000
610111131345013
7655313316222
oct144435436541
937747255540
1013496630625
1157a6550395
122747bb2169
13137124728a
149206c5249
1553ed51a00
hex324763d61

13496630625 has 45 divisors (see below), whose sum is σ = 24376855503. Its totient is φ = 7193556000.

The previous prime is 13496630597. The next prime is 13496630629. The reversal of 13496630625 is 52603669431.

The square root of 13496630625 is 116175.

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

13496630625 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 6 + 630 + 6 + 2 + 5 = 666.

13496630625 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 7 ways, for example, as 12021148881 + 1475481744 = 109641^2 + 38412^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 13496630625 - 29 = 13496630113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13496630629) 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 44 ways as a sum of consecutive naturals, for example, 8712351 + ... + 8713899.

Almost surely, 213496630625 is an apocalyptic number.

13496630625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13496630625 is the 116175-th square number.

13496630625 is the 58088-th centered octagonal number.

It is an amenable number.

13496630625 is a deficient number, since it is larger than the sum of its proper divisors (10880224878).

13496630625 is an frugal number, since it uses more digits than its factorization.

13496630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 13496630625 in words is "thirteen billion, four hundred ninety-six million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1549 1875 4647 5625 7745 13941 23235 38725 69705 116175 193625 348525 580875 968125 1742625 2399401 2904375 7198203 8713125 11997005 21594609 35991015 59985025 107973045 179955075 299925125 539865225 899775375 1499625625 2699326125 4498876875 13496630625