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13564055320660 = 22513291798946329
BaseRepresentation
bin1100010101100010000010…
…1100101111100001010100
31210000201012100002200101201
43011120200230233201110
53234213141130230120
644503124015402244
72566653635620045
oct305304054574124
953021170080351
1013564055320660
11435a535683729
12163097a823384
13775114783ba0
1434c70a5328cc
15187c73a6e40a
hexc5620b2f854

13564055320660 has 48 divisors (see below), whose sum is σ = 31733413261200. Its totient is φ = 4835567729664.

The previous prime is 13564055320643. The next prime is 13564055320661. The reversal of 13564055320660 is 6602355046531.

It can be written as a sum of positive squares in 8 ways, for example, as 92894505796 + 13471160814864 = 304786^2 + 3670308^2 .

It is a super-3 number, since 3×135640553206603 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13564055320660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564055320661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899465625 + ... + 899480704.

It is an arithmetic number, because the mean of its divisors is an integer number (661112776275).

Almost surely, 213564055320660 is an apocalyptic number.

13564055320660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564055320660 is an abundant number, since it is smaller than the sum of its proper divisors (18169357940540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13564055320660 is a wasteful number, since it uses less digits than its factorization.

13564055320660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798946380 (or 1798946378 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 13564055320660 in words is "thirteen trillion, five hundred sixty-four billion, fifty-five million, three hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 1798946329 3597892658 7195785316 8994731645 17989463290 23386302277 35978926580 46772604554 52169443541 93545209108 104338887082 116931511385 208677774164 233863022770 260847217705 467726045540 521694435410 678202766033 1043388870820 1356405532066 2712811064132 3391013830165 6782027660330 13564055320660