Search a number
-
+
261524346216406 = 27132991335425369
BaseRepresentation
bin111011011101101011100001…
…110000011001111111010110
31021021222111001100100122120221
4323131223201300121333112
5233234303330112411111
62324114343121344554
7106041340045440460
oct7335534160317726
91237874040318527
10261524346216406
1176369941571549
12253b920649815a
13b2c08421acc80
144881bbb1c7130
152037cad5ba371
hexeddae1c19fd6

261524346216406 has 64 divisors (see below), whose sum is σ = 499517722166400. Its totient is φ = 99881632521216.

The previous prime is 261524346216379. The next prime is 261524346216467. The reversal of 261524346216406 is 604612643425162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45491290 + ... + 50916658.

It is an arithmetic number, because the mean of its divisors is an integer number (7804964408850).

Almost surely, 2261524346216406 is an apocalyptic number.

261524346216406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

261524346216406 is a deficient number, since it is larger than the sum of its proper divisors (237993375949994).

261524346216406 is a wasteful number, since it uses less digits than its factorization.

261524346216406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434553.

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 261524346216406 in words is "two hundred sixty-one trillion, five hundred twenty-four billion, three hundred forty-six million, two hundred sixteen thousand, four hundred six".

Divisors: 1 2 7 13 14 26 29 58 91 182 203 377 406 754 2639 5278 9133 18266 63931 118729 127862 237458 264857 529714 831103 1662206 1853999 3443141 3707998 5425369 6886282 10850738 24101987 37977583 48203974 70529797 75955166 141059594 157335701 314671402 493708579 987417158 1101349907 2045364113 2202699814 4090728226 14317548791 28635097582 49549895077 99099790154 346849265539 644148636001 693698531078 1288297272002 1436946957233 2873893914466 4509040452007 9018080904014 10058628700631 18680310444029 20117257401262 37360620888058 130762173108203 261524346216406