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11656305045 = 3257116774969
BaseRepresentation
bin10101101101100010…
…10001100110010101
31010002100101122111200
422312301101212111
5142333003230140
65204351023113
7561565646430
oct126661214625
933070348450
1011656305045
114a41753560
12231380aa99
131139ba8428
147c8112817
154834d0030
hex2b6c51995

11656305045 has 96 divisors (see below), whose sum is σ = 25232014080. Its totient is φ = 4836049920.

The previous prime is 11656305029. The next prime is 11656305047. The reversal of 11656305045 is 54050365611.

11656305045 is a `hidden beast` number, since 1 + 1 + 6 + 563 + 0 + 50 + 45 = 666.

11656305045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11656305045 - 24 = 11656305029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11656305047) 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 95 ways as a sum of consecutive naturals, for example, 2343321 + ... + 2348289.

It is an arithmetic number, because the mean of its divisors is an integer number (262833480).

Almost surely, 211656305045 is an apocalyptic number.

11656305045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11656305045 is an abundant number, since it is smaller than the sum of its proper divisors (13575709035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11656305045 is a wasteful number, since it uses less digits than its factorization.

11656305045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11656305045 in words is "eleven billion, six hundred fifty-six million, three hundred five thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 677 693 1155 2031 3385 3465 4739 4969 6093 7447 10155 14217 14907 22341 23695 24845 30465 34783 37235 42651 44721 52129 54659 67023 71085 74535 104349 111705 156387 163977 173915 213255 223605 260645 273295 313047 335115 382613 469161 491931 521745 781935 819885 1147839 1565235 1913065 2345805 2459655 3364013 3443517 5739195 10092039 16820065 17217585 23548091 30276117 37004143 50460195 70644273 111012429 117740455 151380585 185020715 211932819 259029001 333037287 353221365 555062145 777087003 1059664095 1295145005 1665186435 2331261009 3885435015 11656305045