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11681377763135 = 524479049105509
BaseRepresentation
bin1010100111111100100001…
…0111110011111100111111
31112100201200022010102111212
42221333020113303330333
53012341430201410020
640502203441435035
72313644300462153
oct251771027637477
945321608112455
1011681377763135
1137a405423a403
121387b1993ba7b
1366971a77a512
142c554b559063
15153cd5946cc5
hexa9fc85f3f3f

11681377763135 has 16 divisors (see below), whose sum is σ = 14025064464000. Its totient is φ = 9340162381056.

The previous prime is 11681377763117. The next prime is 11681377763197. The reversal of 11681377763135 is 53136777318611.

It is a cyclic number.

It is not a de Polignac number, because 11681377763135 - 236 = 11612658286399 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 110661761 + ... + 110767269.

It is an arithmetic number, because the mean of its divisors is an integer number (876566529000).

Almost surely, 211681377763135 is an apocalyptic number.

11681377763135 is a deficient number, since it is larger than the sum of its proper divisors (2343686700865).

11681377763135 is a wasteful number, since it uses less digits than its factorization.

11681377763135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117010.

The product of its digits is 13335840, while the sum is 59.

The spelling of 11681377763135 in words is "eleven trillion, six hundred eighty-one billion, three hundred seventy-seven million, seven hundred sixty-three thousand, one hundred thirty-five".

Divisors: 1 5 2447 9049 12235 45245 105509 527545 22142903 110714515 258180523 954750941 1290902615 4773754705 2336275552627 11681377763135