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1328024084265 = 345191693101939
BaseRepresentation
bin10011010100110100011…
…001110101111100101001
311200221212021121102210000
4103110310121311330221
5133224243131144030
62454030313013213
7164642450315064
oct23246431657451
94627767542700
101328024084265
11472236a7950a
121954686b4209
1398302cc8618
14483c34078db
1524829347860
hex13534675f29

1328024084265 has 80 divisors (see below), whose sum is σ = 2507405947200. Its totient is φ = 670598725248.

The previous prime is 1328024084221. The next prime is 1328024084269. The reversal of 1328024084265 is 5624804208231.

1328024084265 is a `hidden beast` number, since 1 + 328 + 0 + 240 + 84 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 1328024084265 - 216 = 1328024018729 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1328024084265.

It is not an unprimeable number, because it can be changed into a prime (1328024084269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12976666 + ... + 13078604.

It is an arithmetic number, because the mean of its divisors is an integer number (31342574340).

Almost surely, 21328024084265 is an apocalyptic number.

1328024084265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328024084265 is a deficient number, since it is larger than the sum of its proper divisors (1179381862935).

1328024084265 is a wasteful number, since it uses less digits than its factorization.

1328024084265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103668 (or 103659 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1328024084265 in words is "one trillion, three hundred twenty-eight billion, twenty-four million, eighty-four thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 1693 2565 5079 7695 8465 15237 25395 32167 45711 76185 96501 101939 137133 160835 228555 289503 305817 482505 509695 685665 868509 917451 1447515 1529085 1936841 2605527 2752353 4342545 4587255 5810523 8257059 9684205 13027635 13761765 17431569 29052615 41285295 52294707 87157845 156884121 172582727 261473535 517748181 784420605 862913635 1553244543 2588740905 3279071813 4659733629 7766222715 9837215439 13979200887 16395359065 23298668145 29511646317 49186077195 69896004435 88534938951 147558231585 265604816853 442674694755 1328024084265