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13737480849 = 3814472
BaseRepresentation
bin11001100101101000…
…10101001010010001
31022110101111100000000
430302310111022101
5211113243341344
610151053520213
7664266442401
oct146264251221
938411440000
1013737480849
11590a4a4764
1227b47a3069
1313ac1050c1
1494469c801
15556079a69
hex332d15291

13737480849 has 27 divisors (see below), whose sum is σ = 20619424137. Its totient is φ = 9151991388.

The previous prime is 13737480839. The next prime is 13737480901. The reversal of 13737480849 is 94808473731.

The square root of 13737480849 is 117207.

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

13737480849 is a `hidden beast` number, since 13 + 73 + 7 + 480 + 84 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 13737480849 - 223 = 13729092241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13737480795 and 13737480804.

It is not an unprimeable number, because it can be changed into a prime (13737480839) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9493044 + ... + 9494490.

Almost surely, 213737480849 is an apocalyptic number.

13737480849 is the 117207-th square number.

13737480849 is the 58604-th centered octagonal number.

It is an amenable number.

13737480849 is a deficient number, since it is larger than the sum of its proper divisors (6881943288).

13737480849 is an frugal number, since it uses more digits than its factorization.

13737480849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13737480849 in words is "thirteen billion, seven hundred thirty-seven million, four hundred eighty thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 81 243 729 1447 2187 4341 6561 13023 39069 117207 351621 1054863 2093809 3164589 6281427 9493767 18844281 56532843 169598529 508795587 1526386761 4579160283 13737480849