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64129183406865 = 355407312958807
BaseRepresentation
bin11101001010011001111010…
…01100100101101100010001
322102001200122001110020100000
432211030331030211230101
531401143031423004430
6344220312401120213
716336115642663103
oct1645147514455421
9272050561406300
1064129183406865
1119485041209345
1272387b9929069
1329a2482309035
1411b9c248d7573
15763231d6ce60
hex3a533d325b11

64129183406865 has 48 divisors (see below), whose sum is σ = 115302497401728. Its totient is φ = 34193831204736.

The previous prime is 64129183406843. The next prime is 64129183406903. The reversal of 64129183406865 is 56860438192146.

64129183406865 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 91 + 83 + 406 + 8 + 65 = 666.

64129183406865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64129183406865 - 218 = 64129183144721 is a prime.

It is a super-2 number, since 2×641291834068652 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1530709 + ... + 11428098.

It is an arithmetic number, because the mean of its divisors is an integer number (2402135362536).

Almost surely, 264129183406865 is an apocalyptic number.

It is an amenable number.

64129183406865 is a deficient number, since it is larger than the sum of its proper divisors (51173313994863).

64129183406865 is a wasteful number, since it uses less digits than its factorization.

64129183406865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962900 (or 12962888 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 64129183406865 in words is "sixty-four trillion, one hundred twenty-nine billion, one hundred eighty-three million, four hundred six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 4073 12219 20365 36657 61095 109971 183285 329913 549855 989739 1649565 4948695 12958807 38876421 64794035 116629263 194382105 349887789 583146315 1049663367 1749438945 3148990101 5248316835 15744950505 52781220911 158343662733 263906104555 475030988199 791718313665 1425092964597 2375154940995 4275278893791 7125464822985 12825836681373 21376394468955 64129183406865