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11381164773 = 3112234612957
BaseRepresentation
bin10101001100101111…
…01100101011100101
31002101011200002000020
422212113230223211
5141302034233043
65121201505353
7552015206256
oct124627545345
932334602006
1011381164773
114910409600
122257642259
1310c4ba2a34
1479d770b2d
15469281e83
hex2a65ecae5

11381164773 has 48 divisors (see below), whose sum is σ = 17448697728. Its totient is φ = 6581238400.

The previous prime is 11381164759. The next prime is 11381164789. The reversal of 11381164773 is 37746118311.

It is a happy number.

It is not a de Polignac number, because 11381164773 - 210 = 11381163749 is a prime.

It is a super-2 number, since 2×113811647732 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381164733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3847411 + ... + 3850367.

It is an arithmetic number, because the mean of its divisors is an integer number (363514536).

Almost surely, 211381164773 is an apocalyptic number.

It is an amenable number.

11381164773 is a deficient number, since it is larger than the sum of its proper divisors (6067532955).

11381164773 is a wasteful number, since it uses less digits than its factorization.

11381164773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3455 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The spelling of 11381164773 in words is "eleven billion, three hundred eighty-one million, one hundred sixty-four thousand, seven hundred seventy-three".

Divisors: 1 3 11 23 33 69 121 253 363 461 759 1383 2783 2957 5071 8349 8871 10603 15213 31809 32527 55781 68011 97581 116633 167343 204033 349899 357797 748121 1073391 1282963 1363177 2244363 3848889 4089531 8229331 14994947 24687993 31353071 44984841 94059213 164944417 344883781 494833251 1034651343 3793721591 11381164773