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11663400073 = 13233759107167
BaseRepresentation
bin10101101110011000…
…10101110010001001
31010002211202010001111
422313030111302021
5142341312300243
65205203050321
7562013156563
oct126714256211
933084663044
1011663400073
114a4575a116
1223160709a1
13113b4c0980
147c903c333
15483e3239d
hex2b7315c89

11663400073 has 64 divisors (see below), whose sum is σ = 13899755520. Its totient is φ = 9699478272.

The previous prime is 11663400029. The next prime is 11663400083. The reversal of 11663400073 is 37000436611.

11663400073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11663400073 - 221 = 11661302921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11663400083) 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 63 ways as a sum of consecutive naturals, for example, 69840636 + ... + 69840802.

It is an arithmetic number, because the mean of its divisors is an integer number (217183680).

Almost surely, 211663400073 is an apocalyptic number.

11663400073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11663400073 is a deficient number, since it is larger than the sum of its proper divisors (2236355447).

11663400073 is a wasteful number, since it uses less digits than its factorization.

11663400073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 11663400073 its reverse (37000436611), we get a palindrome (48663836684).

The spelling of 11663400073 in words is "eleven billion, six hundred sixty-three million, four hundred thousand, seventy-three".

Divisors: 1 13 23 37 59 107 167 299 481 767 851 1357 1391 2171 2183 2461 3841 3959 6179 6313 9853 11063 17641 17869 28379 31993 49933 50209 51467 80327 82069 91057 128089 142117 145199 226619 232297 233581 364561 410987 652717 661153 1054271 1183741 1847521 1887587 2946047 3036553 4739293 5342831 5372363 8384903 8594989 13705523 15206519 24248233 39008027 69840719 109003739 197684747 315227029 507104351 897184621 11663400073