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14814977661 = 32111133134231
BaseRepresentation
bin11011100110000101…
…01001111001111101
31102020110222211202100
431303002221321331
5220320113241121
610450024215313
71033062142461
oct156302517175
942213884670
1014814977661
116312739aa0
122a5560a539
131521407193
14a078204a1
155ba968026
hex3730a9e7d

14814977661 has 48 divisors (see below), whose sum is σ = 23632232832. Its totient is φ = 8868787200.

The previous prime is 14814977633. The next prime is 14814977687. The reversal of 14814977661 is 16677941841.

14814977661 is a `hidden beast` number, since 1 + 4 + 81 + 497 + 76 + 6 + 1 = 666.

It is not a de Polignac number, because 14814977661 - 217 = 14814846589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14814977598 and 14814977607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814977161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499416 + ... + 3503646.

It is an arithmetic number, because the mean of its divisors is an integer number (492338184).

Almost surely, 214814977661 is an apocalyptic number.

14814977661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14814977661 is a deficient number, since it is larger than the sum of its proper divisors (8817255171).

14814977661 is a wasteful number, since it uses less digits than its factorization.

14814977661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4671 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 14814977661 in words is "fourteen billion, eight hundred fourteen million, nine hundred seventy-seven thousand, six hundred sixty-one".

Divisors: 1 3 9 11 33 99 113 313 339 939 1017 1243 2817 3443 3729 4231 10329 11187 12693 30987 35369 38079 46541 106107 139623 318321 389059 418869 478103 1167177 1324303 1434309 3501531 3972909 4302927 5259133 11918727 14567333 15777399 43701999 47332197 131105997 149646239 448938717 1346816151 1646108629 4938325887 14814977661