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13763278489 = 1726721032
BaseRepresentation
bin11001101000101101…
…01111011010011001
31022112012000222201011
430310112233122121
5211141344402424
610153414453521
7665031636232
oct146426573231
938465028634
1013763278489
115923014924
1228013642a1
1313b456838c
14947c96089
15558473694
hex3345af699

13763278489 has 27 divisors (see below), whose sum is σ = 14987476287. Its totient is φ = 12636448704.

The previous prime is 13763278483. The next prime is 13763278517. The reversal of 13763278489 is 98487236731.

The square root of 13763278489 is 117317.

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., 10715355225 + 3047923264 = 103515^2 + 55208^2 .

It is not a de Polignac number, because 13763278489 - 211 = 13763276441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13763278483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133624012 + ... + 133624114.

Almost surely, 213763278489 is an apocalyptic number.

13763278489 is the 117317-th square number.

13763278489 is the 58659-th centered octagonal number.

It is an amenable number.

13763278489 is a deficient number, since it is larger than the sum of its proper divisors (1224197798).

13763278489 is an frugal number, since it uses more digits than its factorization.

13763278489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 13763278489 in words is "thirteen billion, seven hundred sixty-three million, two hundred seventy-eight thousand, four hundred eighty-nine".

Divisors: 1 17 67 103 289 1139 1751 4489 6901 10609 19363 29767 76313 117317 180353 462367 710803 1297321 1994389 3066001 7860239 12083651 47623801 133624063 205422067 809604617 13763278489