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11478000066 = 2313375967409
BaseRepresentation
bin10101011000010010…
…00110000111000010
31002121220212211001120
422230021012013002
5142001332000231
65134541213110
7554302251021
oct125411060702
932556784046
1011478000066
114960039375
122283b61196
13110bc78c20
147ac57a8b8
15472a0dd96
hex2ac2461c2

11478000066 has 64 divisors (see below), whose sum is σ = 25820726400. Its totient is φ = 3377949696.

The previous prime is 11478000047. The next prime is 11478000119. The reversal of 11478000066 is 66000087411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136570 + ... + 203978.

It is an arithmetic number, because the mean of its divisors is an integer number (403448850).

Almost surely, 211478000066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11478000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910363200).

11478000066 is an abundant number, since it is smaller than the sum of its proper divisors (14342726334).

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

11478000066 is a wasteful number, since it uses less digits than its factorization.

11478000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67523.

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 11478000066 its reverse (66000087411), we get a palindrome (77478087477).

The spelling of 11478000066 in words is "eleven billion, four hundred seventy-eight million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 37 39 59 74 78 111 118 177 222 354 481 767 962 1443 1534 2183 2301 2886 4366 4602 6549 13098 28379 56758 67409 85137 134818 170274 202227 404454 876317 1752634 2494133 2628951 3977131 4988266 5257902 7482399 7954262 11931393 14964798 23862786 32423729 51702703 64847458 97271187 103405406 147153847 155108109 194542374 294307694 310216218 441461541 882923082 1913000011 3826000022 5739000033 11478000066