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12458354689 = 1127321392
BaseRepresentation
bin10111001101001001…
…10110100000000001
31012011020120222210001
423212210312200001
5201003314322224
65420121440001
7620505160534
oct134644664001
935136528701
1012458354689
115313464300
1224b8340001
1312370c8211
14862852a1b
154cdb0e544
hex2e6936801

12458354689 has 27 divisors (see below), whose sum is σ = 13984655139. Its totient is φ = 11090265120.

The previous prime is 12458354659. The next prime is 12458354729. The reversal of 12458354689 is 98645385421.

The square root of 12458354689 is 111617.

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., 7071969025 + 5386385664 = 84095^2 + 73392^2 .

It is not a de Polignac number, because 12458354689 - 27 = 12458354561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12458354659) 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, 89628382 + ... + 89628520.

Almost surely, 212458354689 is an apocalyptic number.

12458354689 is the 111617-th square number.

12458354689 is the 55809-th centered octagonal number.

It is an amenable number.

12458354689 is a deficient number, since it is larger than the sum of its proper divisors (1526300450).

12458354689 is an frugal number, since it uses more digits than its factorization.

12458354689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 12458354689 in words is "twelve billion, four hundred fifty-eight million, three hundred fifty-four thousand, six hundred eighty-nine".

Divisors: 1 11 73 121 139 803 1529 5329 8833 10147 16819 19321 58619 111617 212531 644809 740731 1227787 1410433 2337841 8148041 15514763 89628451 102961609 170662393 1132577699 12458354689