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11663075007 = 3319253107211
BaseRepresentation
bin10101101110010110…
…00110011010111111
31010002211010121011000
422313023012122333
5142341221400012
65205152101343
7562010334063
oct126713063277
933084117130
1011663075007
114a45557971
122315b34853
13113b408a1c
147c8d95aa3
15483dbaddc
hex2b72c66bf

11663075007 has 96 divisors (see below), whose sum is σ = 18842492160. Its totient is φ = 7125693120.

The previous prime is 11663074981. The next prime is 11663075009. The reversal of 11663075007 is 70057036611.

11663075007 is a `hidden beast` number, since 1 + 16 + 630 + 7 + 5 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 11663075007 - 27 = 11663074879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11663075009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55275132 + ... + 55275342.

It is an arithmetic number, because the mean of its divisors is an integer number (196275960).

Almost surely, 211663075007 is an apocalyptic number.

11663075007 is a deficient number, since it is larger than the sum of its proper divisors (7179417153).

11663075007 is a wasteful number, since it uses less digits than its factorization.

11663075007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 11663075007 in words is "eleven billion, six hundred sixty-three million, seventy-five thousand, seven".

Divisors: 1 3 9 19 27 53 57 107 159 171 211 321 361 477 513 633 963 1007 1083 1431 1899 2033 2889 3021 3249 4009 5671 5697 6099 9063 9747 11183 12027 17013 18297 19133 22577 27189 33549 36081 38627 51039 54891 57399 67731 76171 100647 107749 108243 115881 153117 172197 203193 212477 228513 301941 323247 347643 428963 516591 609579 637431 685539 969741 1042929 1196581 1286889 1912293 2047231 2056617 2909223 3589743 3860667 4037063 5736879 6141693 8150297 10769229 11582001 12111189 18425079 22735039 24450891 32307687 36333567 55275237 68205117 73352673 109000701 204615351 220058019 431965741 613846053 1295897223 3887691669 11663075007