Search a number
-
+
26802483570045 = 32531271137351637
BaseRepresentation
bin1100001100000011100001…
…00000110010010101111101
310111220021220011102020011100
412012001300200302111331
512003112441243220140
6133000520241043313
75434262346234111
oct606016040622575
9114807804366140
1026802483570045
1185a3962266107
12300a601626539
1311c5603cb9171
14689366187741
153172da193530
hex18607083257d

26802483570045 has 96 divisors (see below), whose sum is σ = 48169221894144. Its totient is φ = 13772188684800.

The previous prime is 26802483570017. The next prime is 26802483570077. The reversal of 26802483570045 is 54007538420862.

26802483570045 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 24 + 8 + 3 + 570 + 0 + 45 = 666.

It is not a de Polignac number, because 26802483570045 - 210 = 26802483569021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26802483569973 and 26802483570000.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 519029967 + ... + 519081603.

It is an arithmetic number, because the mean of its divisors is an integer number (501762728064).

Almost surely, 226802483570045 is an apocalyptic number.

It is an amenable number.

26802483570045 is a deficient number, since it is larger than the sum of its proper divisors (21366738324099).

26802483570045 is a wasteful number, since it uses less digits than its factorization.

26802483570045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53323 (or 53320 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 26802483570045 in words is "twenty-six trillion, eight hundred two billion, four hundred eighty-three million, five hundred seventy thousand, forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 271 279 465 813 1355 1373 1395 2439 4065 4119 6865 8401 12195 12357 20595 25203 42005 42563 51637 61785 75609 126015 127689 154911 212815 258185 372083 378045 383067 464733 638445 774555 1116249 1600747 1860415 1915335 2323665 3348747 4802241 5581245 8003735 11534573 13993627 14406723 16743735 24011205 34603719 41980881 57672865 69968135 70897601 72033615 103811157 125942643 173018595 209904405 212692803 354488005 433802437 519055785 629713215 638078409 1063464015 1301407311 2169012185 2197825631 3190392045 3904221933 6507036555 6593476893 10989128155 19213249871 19521109665 19780430679 32967384465 57639749613 96066249355 98902153395 172919248839 288198748065 595610746001 864596244195 1786832238003 2978053730005 5360496714009 8934161190015 26802483570045