Search a number
-
+
261535126603356 = 2232531327103295341
BaseRepresentation
bin111011011101110101100100…
…010100010100011001011100
31021022000111212122120001100200
4323131311210110110121130
5233234442414402301411
62324123324542423500
7106042201150301154
oct7335654424243134
91238014778501320
10261535126603356
1176373473840851
12253bb314891b90
13b2c186c774068
144882520c4b764
1520381dec28e56
hexeddd6451465c

261535126603356 has 72 divisors (see below), whose sum is σ = 674083916460864. Its totient is φ = 85469043404160.

The previous prime is 261535126603279. The next prime is 261535126603459. The reversal of 261535126603356 is 653306621535162.

261535126603356 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 3 + 5 + 1 + 26 + 603 + 3 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49115755 + ... + 54179586.

It is an arithmetic number, because the mean of its divisors is an integer number (9362276617512).

Almost surely, 2261535126603356 is an apocalyptic number.

It is an amenable number.

261535126603356 is an abundant number, since it is smaller than the sum of its proper divisors (412548789857508).

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

261535126603356 is a wasteful number, since it uses less digits than its factorization.

261535126603356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103296731 (or 103296726 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 261535126603356 in words is "two hundred sixty-one trillion, five hundred thirty-five billion, one hundred twenty-six million, six hundred three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1327 1908 2654 3981 5308 7962 11943 15924 23886 47772 70331 140662 210993 281324 421986 632979 843972 1265958 2531916 103295341 206590682 309886023 413181364 619772046 929658069 1239544092 1859316138 3718632276 5474653073 10949306146 16423959219 21898612292 32847918438 49271877657 65695836876 98543755314 137072917507 197087510628 274145835014 411218752521 548291670028 822437505042 1233656257563 1644875010084 2467312515126 4934625030252 7264864627871 14529729255742 21794593883613 29059458511484 43589187767226 65383781650839 87178375534452 130767563301678 261535126603356