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11385368148 = 22372111760261
BaseRepresentation
bin10101001101001111…
…01110111001010100
31002101110120121221210
422212213232321110
5141304123240043
65121431541420
7552066014100
oct124647567124
932343517853
1011385368148
11491281a670
122258b2a870
1310c5a1503b
147a0146900
15469812633
hex2a69eee54

11385368148 has 72 divisors (see below), whose sum is σ = 33712537824. Its totient is φ = 2957236800.

The previous prime is 11385368147. The next prime is 11385368209. The reversal of 11385368148 is 84186358311.

It is a junction number, because it is equal to n+sod(n) for n = 11385368097 and 11385368106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385368143) 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 23 ways as a sum of consecutive naturals, for example, 873663 + ... + 886598.

It is an arithmetic number, because the mean of its divisors is an integer number (468229692).

Almost surely, 211385368148 is an apocalyptic number.

It is an amenable number.

11385368148 is an abundant number, since it is smaller than the sum of its proper divisors (22327169676).

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

11385368148 is a wasteful number, since it uses less digits than its factorization.

11385368148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760293 (or 1760284 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 11385368148 in words is "eleven billion, three hundred eighty-five million, three hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 1760261 3520522 5280783 7041044 10561566 12321827 19362871 21123132 24643654 36965481 38725742 49287308 58088613 73930962 77451484 86252789 116177226 135540097 147861924 172505578 232354452 258758367 271080194 345011156 406620291 517516734 542160388 813240582 948780679 1035033468 1626481164 1897561358 2846342037 3795122716 5692684074 11385368148