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64128461805 = 355211324979
BaseRepresentation
bin111011101110010110…
…101010101111101101
320010112020000101200000
4323232112222233231
52022313341234210
645243223254513
74430106634332
oct735626525755
9203466011600
1064128461805
1125218932571
12105185aa439
13607cb791b5
143164cc6989
151a04e00ac0
hexeee5aabed

64128461805 has 48 divisors (see below), whose sum is σ = 115332060480. Its totient is φ = 34184291328.

The previous prime is 64128461791. The next prime is 64128461809. The reversal of 64128461805 is 50816482146.

It is a happy number.

64128461805 is a `hidden beast` number, since 6 + 4 + 1 + 28 + 4 + 618 + 0 + 5 = 666.

It is not a de Polignac number, because 64128461805 - 25 = 64128461773 is a prime.

It is a super-2 number, since 2×641284618052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64128461809) 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, 2554806 + ... + 2579784.

It is an arithmetic number, because the mean of its divisors is an integer number (2402751260).

Almost surely, 264128461805 is an apocalyptic number.

It is an amenable number.

64128461805 is a deficient number, since it is larger than the sum of its proper divisors (51203598675).

64128461805 is a wasteful number, since it uses less digits than its factorization.

64128461805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27112 (or 27100 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 64128461805 in words is "sixty-four billion, one hundred twenty-eight million, four hundred sixty-one thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 2113 6339 10565 19017 24979 31695 57051 74937 95085 124895 171153 224811 285255 374685 513459 674433 855765 1124055 2023299 2567295 3372165 6069897 10116495 30349485 52780627 158341881 263903135 475025643 791709405 1425076929 2375128215 4275230787 7125384645 12825692361 21376153935 64128461805