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11331428688 = 2433142318433
BaseRepresentation
bin10101000110110011…
…11110000101010000
31002020201002012221000
422203121332011100
5141201321204223
65112223502000
7550542361146
oct124331760520
932221065830
1011331428688
1148953290a8
122242a57900
1310b77aa7b8
14796d05596
15464c0a543
hex2a367e150

11331428688 has 80 divisors (see below), whose sum is σ = 32550019840. Its totient is φ = 3774283776.

The previous prime is 11331428687. The next prime is 11331428707. The reversal of 11331428688 is 88682413311.

11331428688 is a `hidden beast` number, since 113 + 31 + 428 + 6 + 88 = 666.

It is a super-2 number, since 2×113314286882 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331428687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605520 + ... + 623952.

It is an arithmetic number, because the mean of its divisors is an integer number (406875248).

Almost surely, 211331428688 is an apocalyptic number.

11331428688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11331428688 is an abundant number, since it is smaller than the sum of its proper divisors (21218591152).

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

11331428688 is a wasteful number, since it uses less digits than its factorization.

11331428688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19873 (or 19861 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 11331428688 in words is "eleven billion, three hundred thirty-one million, four hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1423 2846 4269 5692 8538 11384 12807 17076 18433 22768 25614 34152 36866 38421 51228 55299 68304 73732 76842 102456 110598 147464 153684 165897 204912 221196 294928 307368 331794 442392 497691 614736 663588 884784 995382 1327176 1990764 2654352 3981528 7963056 26230159 52460318 78690477 104920636 157380954 209841272 236071431 314761908 419682544 472142862 629523816 708214293 944285724 1259047632 1416428586 1888571448 2832857172 3777142896 5665714344 11331428688