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135915774228 = 22331396806107
BaseRepresentation
bin111111010010100110…
…1100010000100010100
3110222211012111201021000
41332211031202010110
54211323414233403
6142234442423300
712551056006353
oct1764515420424
9428735451230
10135915774228
1152706a02943
1222411b01b30
13ca80690960
14681503199a
1538073b07a3
hex1fa5362114

135915774228 has 48 divisors (see below), whose sum is σ = 379479943360. Its totient is φ = 41820237792.

The previous prime is 135915774227. The next prime is 135915774287. The reversal of 135915774228 is 822477519531.

135915774228 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 1 + 577 + 42 + 28 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135915774227) 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, 48401650 + ... + 48404457.

Almost surely, 2135915774228 is an apocalyptic number.

135915774228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135915774228 is an abundant number, since it is smaller than the sum of its proper divisors (243564169132).

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

135915774228 is a wasteful number, since it uses less digits than its factorization.

135915774228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96806133 (or 96806125 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 135915774228 in words is "one hundred thirty-five billion, nine hundred fifteen million, seven hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 96806107 193612214 290418321 387224428 580836642 871254963 1161673284 1258479391 1742509926 2516958782 2613764889 3485019852 3775438173 5033917564 5227529778 7550876346 10455059556 11326314519 15101752692 22652629038 33978943557 45305258076 67957887114 135915774228