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12938380009 = 17266912
BaseRepresentation
bin11000000110011000…
…00000001011101001
31020101200211210201121
430003030000023221
5202444211130014
65535510215241
7635424262342
oct140314001351
936350753647
1012938380009
11553a418445
122611054521
1312b26a8579
148aa4c90c9
1550ad2e124
hex3033002e9

12938380009 has 9 divisors (see below), whose sum is σ = 13746285111. Its totient is φ = 12175478880.

The previous prime is 12938379997. The next prime is 12938380027. The reversal of 12938380009 is 90008383921.

It is a happy number.

The square root of 12938380009 is 113747.

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., 10073133225 + 2865246784 = 100365^2 + 53528^2 .

It is not a de Polignac number, because 12938380009 - 25 = 12938379977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12938380079) 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, 1930354 + ... + 1937044.

Almost surely, 212938380009 is an apocalyptic number.

12938380009 is the 113747-th square number.

12938380009 is the 56874-th centered octagonal number.

It is an amenable number.

12938380009 is a deficient number, since it is larger than the sum of its proper divisors (807905102).

12938380009 is an frugal number, since it uses more digits than its factorization.

12938380009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13416 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 12938380009 in words is "twelve billion, nine hundred thirty-eight million, three hundred eighty thousand, nine".

Divisors: 1 17 289 6691 113747 1933699 44769481 761081177 12938380009