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14986411561 = 1123123592
BaseRepresentation
bin11011111010100001…
…00111111000101001
31102200102120120212001
431331100213320221
5221143010132221
610515030451001
71040243252662
oct157520477051
942612516761
1014986411561
1163a0490900
122aa2b03a61
13154aa9c064
14a224c8369
155caa2d391
hex37d427e29

14986411561 has 27 divisors (see below), whose sum is σ = 17068729629. Its totient is φ = 13147800600.

The previous prime is 14986411529. The next prime is 14986411567. The reversal of 14986411561 is 16511468941.

The square root of 14986411561 is 122419.

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

It is not a de Polignac number, because 14986411561 - 25 = 14986411529 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14986411567) 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, 41744700 + ... + 41745058.

Almost surely, 214986411561 is an apocalyptic number.

14986411561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14986411561 is the 122419-th square number.

14986411561 is the 61210-th centered octagonal number.

It is an amenable number.

14986411561 is a deficient number, since it is larger than the sum of its proper divisors (2082318068).

14986411561 is an frugal number, since it uses more digits than its factorization.

14986411561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The spelling of 14986411561 in words is "fourteen billion, nine hundred eighty-six million, four hundred eleven thousand, five hundred sixty-one".

Divisors: 1 11 31 121 341 359 961 3751 3949 10571 11129 43439 116281 122419 128881 344999 1346609 1417691 3794989 3995311 15594601 41744879 43948421 123854641 483432631 1362401051 14986411561