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12830487589089 = 3211939892
BaseRepresentation
bin1011101010110101010010…
…1001111011000011100001
31200102120201201222211122100
42322231110221323003201
53140203314310322324
643142124501201013
72462654305026642
oct272552451730341
950376651884570
1012830487589089
1140a7419832515
121532774400169
13720ba9a5c3b1
14324ddb0336c9
15173b3ca524c9
hexbab54a7b0e1

12830487589089 has 9 divisors (see below), whose sum is σ = 18532942039443. Its totient is φ = 8553651228792.

The previous prime is 12830487589081. The next prime is 12830487589093. The reversal of 12830487589089 is 98098578403821.

The square root of 12830487589089 is 3581967.

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

12830487589089 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 487 + 58 + 90 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6444657508689 + 6385830080400 = 2538633^2 + 2527020^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12830487589089 - 23 = 12830487589081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12830487589081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10148907 + ... + 11342895.

Almost surely, 212830487589089 is an apocalyptic number.

12830487589089 is the 3581967-th square number.

12830487589089 is the 1790984-th centered octagonal number.

It is an amenable number.

12830487589089 is a deficient number, since it is larger than the sum of its proper divisors (5702454450354).

12830487589089 is an frugal number, since it uses more digits than its factorization.

12830487589089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387984 (or 1193992 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 12830487589089 in words is "twelve trillion, eight hundred thirty billion, four hundred eighty-seven million, five hundred eighty-nine thousand, eighty-nine".

Divisors: 1 3 9 1193989 3581967 10745901 1425609732121 4276829196363 12830487589089