Search a number
-
+
5270647381695 = 3353731313612477
BaseRepresentation
bin100110010110010101100…
…0100001001111010111111
3200122212110110220122112000
41030230223010021322333
51142323241212203240
615113145121113343
71052535361356033
oct114545304117277
920585413818460
105270647381695
1117522a6050223
127115a1188853
132c30349a6077
1414315a43c1c3
159217d033430
hex4cb2b109ebf

5270647381695 has 128 divisors (see below), whose sum is σ = 9665023092480. Its totient is φ = 2723197501440.

The previous prime is 5270647381631. The next prime is 5270647381739. The reversal of 5270647381695 is 5961837460725.

5270647381695 is a `hidden beast` number, since 5 + 2 + 70 + 6 + 473 + 8 + 1 + 6 + 95 = 666.

It is not a de Polignac number, because 5270647381695 - 26 = 5270647381631 is a prime.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2127833797 + ... + 2127836273.

It is an arithmetic number, because the mean of its divisors is an integer number (75507992910).

It is a 1-persistent number, because it is pandigital, but 2⋅5270647381695 = 10541294763390 is not.

Almost surely, 25270647381695 is an apocalyptic number.

5270647381695 is a deficient number, since it is larger than the sum of its proper divisors (4394375710785).

5270647381695 is a wasteful number, since it uses less digits than its factorization.

5270647381695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5270647381695 in words is "five trillion, two hundred seventy billion, six hundred forty-seven million, three hundred eighty-one thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 313 333 555 939 999 1361 1565 1665 2477 2817 4083 4695 4995 6805 7431 8451 11581 12249 12385 14085 20415 22293 34743 36747 37155 42255 50357 57905 61245 66879 91649 104229 111465 151071 173715 183735 251785 274947 312687 334395 425993 453213 458245 521145 755355 775301 824841 1277979 1359639 1374735 1563435 2129965 2266065 2325903 2474523 3371197 3833937 3876505 4124205 6389895 6798195 6977709 10113591 11501811 11629515 12372615 15761741 16855985 19169685 20933127 28686137 30340773 34888545 47285223 50567955 57509055 78808705 86058411 91022319 104665635 124734289 141855669 143430685 151703865 236426115 258175233 374202867 425567007 430292055 455111595 623671445 709278345 774525699 1055184661 1122608601 1290876165 1871014335 2127835035 3165553983 3367825803 3872628495 5275923305 5613043005 9496661949 15827769915 16839129015 28489985847 39041832457 47483309745 117125497371 142449929235 195209162285 351376492113 585627486855 1054129476339 1756882460565 5270647381695