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11648882647107 = 333171361009773
BaseRepresentation
bin1010100110000011011110…
…0000110010000001000011
31112020121210122211111102000
42221200313200302001003
53011323402424201412
640435231154355043
72311414112525436
oct251406740620103
945217718744360
1011648882647107
113791299628812
12138176b28ba83
1366663c4a6004
142c3b479b181d
15153032c594dc
hexa9837832043

11648882647107 has 16 divisors (see below), whose sum is σ = 17312044325280. Its totient is φ = 7741423583136.

The previous prime is 11648882647081. The next prime is 11648882647139. The reversal of 11648882647107 is 70174628884611.

11648882647107 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 88 + 82 + 6 + 471 + 0 + 7 = 666.

It is not a de Polignac number, because 11648882647107 - 239 = 11099126833219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11648882647147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680496328 + ... + 680513445.

It is an arithmetic number, because the mean of its divisors is an integer number (1082002770330).

Almost surely, 211648882647107 is an apocalyptic number.

11648882647107 is a deficient number, since it is larger than the sum of its proper divisors (5663161678173).

11648882647107 is a wasteful number, since it uses less digits than its factorization.

11648882647107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361010099 (or 1361010093 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 11648882647107 in words is "eleven trillion, six hundred forty-eight billion, eight hundred eighty-two million, six hundred forty-seven thousand, one hundred seven".

Divisors: 1 3 9 27 317 951 2853 8559 1361009773 4083029319 12249087957 36747263871 431440098041 1294320294123 3882960882369 11648882647107