Search a number
-
+
261553766016036 = 2231310361283265619
BaseRepresentation
bin111011011110000110111011…
…010100000010010000100100
31021022002021222122220022200110
4323132012323110002100210
5233240244103100003121
62324140050310013020
7106043431101553164
oct7336067324022044
91238067878808613
10261553766016036
117638036925043a
1225402a57047170
13b2c35502bc630
1448833ac5605a4
1520389312d7d76
hexede1bb502424

261553766016036 has 96 divisors (see below), whose sum is σ = 663631943869440. Its totient is φ = 79695140743296.

The previous prime is 261553766015963. The next prime is 261553766016043. The reversal of 261553766016036 is 630610667355162.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984562435 + ... + 984828053.

It is an arithmetic number, because the mean of its divisors is an integer number (6912832748640).

Almost surely, 2261553766016036 is an apocalyptic number.

261553766016036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

261553766016036 is an abundant number, since it is smaller than the sum of its proper divisors (402078177853404).

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

261553766016036 is a wasteful number, since it uses less digits than its factorization.

261553766016036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327025 (or 327023 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 261553766016036 in words is "two hundred sixty-one trillion, five hundred fifty-three billion, seven hundred sixty-six million, sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 4017 5356 8034 16068 61283 122566 183849 245132 265619 367698 531238 735396 796679 796857 1062476 1593358 1593714 2390037 3186716 3187428 3453047 4780074 6312149 6906094 9560148 10359141 12624298 13812188 18936447 20718282 25248596 27358757 37872894 41436564 54717514 75745788 82057937 82076271 109435028 164115874 164152542 246173811 328231748 328305084 355663841 492347622 711327682 984695244 1066991523 1422655364 2133983046 4267966092 16277929177 32555858354 48833787531 65111716708 97667575062 195335150124 211613079301 423226158602 634839237903 846452317204 1269678475806 1676626705231 2539356951612 3353253410462 5029880115693 6706506820924 10059760231386 20119520462772 21796147168003 43592294336006 65388441504009 87184588672012 130776883008018 261553766016036