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16632487089 = 32429892
BaseRepresentation
bin11110111110101111…
…11001110010110001
31120221010221212222100
433133113321302301
5233030404041324
611350231531013
71126111544001
oct173727716261
946833855870
1016632487089
1170656727a9
123282229a69
131750b17b4a
14b3ad74001
156752ce4c9
hex3df5f9cb1

16632487089 has 9 divisors (see below), whose sum is σ = 24025262443. Its totient is φ = 11088066792.

The previous prime is 16632487021. The next prime is 16632487093. The reversal of 16632487089 is 98078423661.

The square root of 16632487089 is 128967.

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

16632487089 is a `hidden beast` number, since 166 + 324 + 87 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7679542689 + 8952944400 = 87633^2 + 94620^2 .

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

It is not a de Polignac number, because 16632487089 - 217 = 16632356017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16632487019) 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, 365407 + ... + 408395.

Almost surely, 216632487089 is an apocalyptic number.

16632487089 is the 128967-th square number.

16632487089 is the 64484-th centered octagonal number.

It is an amenable number.

16632487089 is a deficient number, since it is larger than the sum of its proper divisors (7392775354).

16632487089 is an frugal number, since it uses more digits than its factorization.

16632487089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85984 (or 42992 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 16632487089 in words is "sixteen billion, six hundred thirty-two million, four hundred eighty-seven thousand, eighty-nine".

Divisors: 1 3 9 42989 128967 386901 1848054121 5544162363 16632487089