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11064708144 = 2432710976893
BaseRepresentation
bin10100100111000001…
…00000110000110000
31001120010012102010100
422103200200300300
5140130031130034
65025535032400
7541123316220
oct122340406060
931503172110
1011064708144
114768814aa6
12218966b700
1310744625a9
1476d716080
1544b5c2099
hex293820c30

11064708144 has 60 divisors (see below), whose sum is σ = 35389506256. Its totient is φ = 3161344896.

The previous prime is 11064708143. The next prime is 11064708173. The reversal of 11064708144 is 44180746011.

11064708144 is a `hidden beast` number, since 1 + 1 + 0 + 647 + 0 + 8 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11064708099 and 11064708108.

It is not an unprimeable number, because it can be changed into a prime (11064708143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5487439 + ... + 5489454.

Almost surely, 211064708144 is an apocalyptic number.

11064708144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11064708144 is an abundant number, since it is smaller than the sum of its proper divisors (24324798112).

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

11064708144 is a wasteful number, since it uses less digits than its factorization.

11064708144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976914 (or 10976905 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11064708144 in words is "eleven billion, sixty-four million, seven hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10976893 21953786 32930679 43907572 65861358 76838251 87815144 98792037 131722716 153676502 175630288 197584074 230514753 263445432 307353004 395168148 461029506 526890864 614706008 691544259 790336296 922059012 1229412016 1383088518 1580672592 1844118024 2766177036 3688236048 5532354072 11064708144