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13769379649 = 27124332
BaseRepresentation
bin11001101001011100…
…00000111101000001
31022112121111221221001
430310232000331001
5211144430122044
610154153332001
7665134536664
oct146456007501
938477457831
1013769379649
115926501803
122803407001
1313b58c342c
14948a036db
15558c7b2d4
hex334b80f41

13769379649 has 9 divisors (see below), whose sum is σ = 13852368099. Its totient is φ = 13686887520.

The previous prime is 13769379641. The next prime is 13769379683. The reversal of 13769379649 is 94697396731.

The square root of 13769379649 is 117343.

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

It can be written as a sum of positive squares in only one way, i.e., 1544097025 + 12225282624 = 39295^2 + 110568^2 .

It is not a de Polignac number, because 13769379649 - 23 = 13769379641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13769379641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31799737 + ... + 31800169.

It is an arithmetic number, because the mean of its divisors is an integer number (1539152011).

Almost surely, 213769379649 is an apocalyptic number.

13769379649 is the 117343-rd square number.

13769379649 is the 58672-nd centered octagonal number.

It is an amenable number.

13769379649 is a deficient number, since it is larger than the sum of its proper divisors (82988450).

13769379649 is an frugal number, since it uses more digits than its factorization.

13769379649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 704 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 64.

Multiplying 13769379649 by its sum of digits (64), we get a square (881240297536 = 9387442).

The spelling of 13769379649 in words is "thirteen billion, seven hundred sixty-nine million, three hundred seventy-nine thousand, six hundred forty-nine".

Divisors: 1 271 433 73441 117343 187489 31799953 50809519 13769379649