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11601606105 = 35521134519
BaseRepresentation
bin10101100111000001…
…00111010111011001
31002221112110122200000
422303200213113121
5142230002343410
65155114403213
7560333011335
oct126340472731
932845418600
1011601606105
114a13893421
1222b9430509
13112b7662ab
147c0b547c5
1547d7c7dc0
hex2b38275d9

11601606105 has 48 divisors (see below), whose sum is σ = 20868731520. Its totient is φ = 6183226368.

The previous prime is 11601606097. The next prime is 11601606127. The reversal of 11601606105 is 50160610611.

It is not a de Polignac number, because 11601606105 - 23 = 11601606097 is a prime.

It is a super-3 number, since 3×116016061053 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565036 + ... + 2569554.

It is an arithmetic number, because the mean of its divisors is an integer number (434765240).

Almost surely, 211601606105 is an apocalyptic number.

11601606105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11601606105 is a deficient number, since it is larger than the sum of its proper divisors (9267125415).

11601606105 is an equidigital number, since it uses as much as digits as its factorization.

11601606105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11601606105 in words is "eleven billion, six hundred one million, six hundred six thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 2113 4519 6339 10565 13557 19017 22595 31695 40671 57051 67785 95085 122013 171153 203355 285255 366039 513459 610065 855765 1098117 1830195 2567295 5490585 9548647 28645941 47743235 85937823 143229705 257813469 429689115 773440407 1289067345 2320321221 3867202035 11601606105