Search a number
-
+
196510948081261 = 11293179251540131
BaseRepresentation
bin101100101011100111000101…
…010000010011111001101101
3221202210021002211220012222221
4230223213011100103321231
5201224113410202100021
61533535514442035341
756251306325325232
oct5453470520237155
9852707084805887
10196510948081261
1157683909186720
121a05917aaa8b51
138585b9785b008
143675275941789
1517aba79e4d241
hexb2b9c5413e6d

196510948081261 has 32 divisors (see below), whose sum is σ = 231819385651200. Its totient is φ = 164809093176000.

The previous prime is 196510948081237. The next prime is 196510948081267. The reversal of 196510948081261 is 162180849015691.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-196510948081261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 196510948081261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196510948081267) 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, 124988835 + ... + 126551296.

It is an arithmetic number, because the mean of its divisors is an integer number (7244355801600).

Almost surely, 2196510948081261 is an apocalyptic number.

196510948081261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

196510948081261 is a deficient number, since it is larger than the sum of its proper divisors (35308437569939).

196510948081261 is a wasteful number, since it uses less digits than its factorization.

196510948081261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251540281.

The product of its (nonzero) digits is 7464960, while the sum is 61.

The spelling of 196510948081261 in words is "one hundred ninety-six trillion, five hundred ten billion, nine hundred forty-eight million, eighty-one thousand, two hundred sixty-one".

Divisors: 1 11 29 31 79 319 341 869 899 2291 2449 9889 25201 26939 71021 781231 251540131 2766941441 7294663799 7797744061 19871670349 80241301789 85775184671 218588373839 226134577769 576278440121 616021780819 2487480355459 6339062841331 6776239589009 17864631643751 196510948081261