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11616066763 = 7223531131721
BaseRepresentation
bin10101101000101111…
…10001110011001011
31002222112200022221221
422310113301303023
5142242203114023
65200352342511
7560566636600
oct126427616313
932875608857
1011616066763
114a20a6a984
122302244a37
13113175a2b2
147c2a3a6a7
1547ebd285d
hex2b45f1ccb

11616066763 has 48 divisors (see below), whose sum is σ = 14501664576. Its totient is φ = 9255966720.

The previous prime is 11616066751. The next prime is 11616066773. The reversal of 11616066763 is 36766061611.

It is not a de Polignac number, because 11616066763 - 217 = 11615935691 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11616066773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6748743 + ... + 6750463.

It is an arithmetic number, because the mean of its divisors is an integer number (302118012).

Almost surely, 211616066763 is an apocalyptic number.

11616066763 is a deficient number, since it is larger than the sum of its proper divisors (2885597813).

11616066763 is a wasteful number, since it uses less digits than its factorization.

11616066763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 11616066763 in words is "eleven billion, six hundred sixteen million, sixty-six thousand, seven hundred sixty-three".

Divisors: 1 7 23 49 53 113 161 371 791 1127 1219 1721 2597 2599 5537 5989 8533 12047 18193 39583 41923 59731 84329 91213 127351 137747 194473 277081 293461 638491 964229 1361311 1939567 2097899 4469437 4472879 6749603 9529177 10307069 14685293 31310153 72149483 102797051 219171071 237062587 505046381 1659438109 11616066763