Search a number
-
+
261646656064276 = 227238310745747509
BaseRepresentation
bin111011011111011101011011…
…111111011100101100010100
31021022102011202022220200200111
4323133131123333130230110
5233243304322423024101
62324250451530052404
7106053230023131310
oct7337353377345424
91238364668820614
10261646656064276
11764067a626354a
1225418a5b87a104
13b2cc234aa9a12
144887aa1202b40
15203b06b23a251
hexedf75bfdcb14

261646656064276 has 96 divisors (see below), whose sum is σ = 557788776007680. Its totient is φ = 104976257637504.

The previous prime is 261646656064271. The next prime is 261646656064301. The reversal of 261646656064276 is 672460656646162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261646656064271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17154391 + ... + 28593118.

It is an arithmetic number, because the mean of its divisors is an integer number (5810299750080).

Almost surely, 2261646656064276 is an apocalyptic number.

It is an amenable number.

261646656064276 is an abundant number, since it is smaller than the sum of its proper divisors (296142119943404).

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

261646656064276 is a wasteful number, since it uses less digits than its factorization.

261646656064276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45747733 (or 45747731 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 67.

The spelling of 261646656064276 in words is "two hundred sixty-one trillion, six hundred forty-six billion, six hundred fifty-six million, sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 46 83 92 107 161 166 214 322 332 428 581 644 749 1162 1498 1909 2324 2461 2996 3818 4922 7636 8881 9844 13363 17227 17762 26726 34454 35524 53452 62167 68908 124334 204263 248668 408526 817052 1429841 2859682 5719364 45747509 91495018 182990036 320232563 640465126 1052192707 1280930252 2104385414 3797043247 4208770828 4894983463 7365348949 7594086494 9789966926 14730697898 15188172988 19579933852 26579302729 29461395796 34264884241 53158605458 68529768482 87331994681 106317210916 112584619649 137059536964 174663989362 225169239298 349327978724 406283627429 450338478596 611323962767 788092337543 812567254858 1222647925534 1576184675086 1625134509716 2445295851068 2843985392003 3152369350172 5687970784006 9344523430867 11375941568012 18689046861734 37378093723468 65411664016069 130823328032138 261646656064276