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13477584649 = 17268292
BaseRepresentation
bin11001000110101001…
…11001111100001001
31021210021110020102211
430203110321330021
5210100230202044
610105211225121
7654662402464
oct144324717411
937707406384
1013477584649
115796821911
1227417481a1
13136a309179
1491bd682db
1553d33d634
hex323539f09

13477584649 has 9 divisors (see below), whose sum is σ = 14319115797. Its totient is φ = 12682928064.

The previous prime is 13477584599. The next prime is 13477584691. The reversal of 13477584649 is 94648577431.

It is a happy number.

The square root of 13477584649 is 116093.

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

13477584649 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 1480325625 + 11997259024 = 38475^2 + 109532^2 .

It is not a de Polignac number, because 13477584649 - 221 = 13475487497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13477584593 and 13477584602.

It is not an unprimeable number, because it can be changed into a prime (13477584049) 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 8 ways as a sum of consecutive naturals, for example, 1970167 + ... + 1976995.

Almost surely, 213477584649 is an apocalyptic number.

13477584649 is the 116093-rd square number.

13477584649 is the 58047-th centered octagonal number.

It is an amenable number.

13477584649 is a deficient number, since it is larger than the sum of its proper divisors (841531148).

13477584649 is an frugal number, since it uses more digits than its factorization.

13477584649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 6846 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 58.

The spelling of 13477584649 in words is "thirteen billion, four hundred seventy-seven million, five hundred eighty-four thousand, six hundred forty-nine".

Divisors: 1 17 289 6829 116093 1973581 46635241 792799097 13477584649