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11115655656 = 2337531976337
BaseRepresentation
bin10100101101000101…
…10111000111101000
31001200200001210222020
422112202313013220
5140231101440111
65034555024440
7542312341230
oct122642670750
931620053866
1011115655656
114794552686
1221a273b120
131081b90051
147763b8cc0
15450cd7906
hex2968b71e8

11115655656 has 128 divisors (see below), whose sum is σ = 32527630080. Its totient is φ = 3099672576.

The previous prime is 11115655651. The next prime is 11115655667. The reversal of 11115655656 is 65655651111.

11115655656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11115655651) 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 31 ways as a sum of consecutive naturals, for example, 1750920 + ... + 1757256.

It is an arithmetic number, because the mean of its divisors is an integer number (254122110).

Almost surely, 211115655656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11115655656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263815040).

11115655656 is an abundant number, since it is smaller than the sum of its proper divisors (21411974424).

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

11115655656 is a wasteful number, since it uses less digits than its factorization.

11115655656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6599 counting only the distinct ones).

The product of its digits is 135000, while the sum is 42.

The spelling of 11115655656 in words is "eleven billion, one hundred fifteen million, six hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 197 212 318 371 394 424 591 636 742 788 1113 1182 1272 1379 1484 1576 2226 2364 2758 2968 4137 4452 4728 5516 6337 8274 8904 10441 11032 12674 16548 19011 20882 25348 31323 33096 38022 41764 44359 50696 62646 73087 76044 83528 88718 125292 133077 146174 152088 177436 219261 250584 266154 292348 335861 354872 438522 532308 584696 671722 877044 1007583 1064616 1248389 1343444 1754088 2015166 2351027 2496778 2686888 3745167 4030332 4702054 4993556 7053081 7490334 8060664 8738723 9404108 9987112 14106162 14980668 17477446 18808216 26216169 28212324 29961336 34954892 52432338 56424648 66164617 69909784 104864676 132329234 198493851 209729352 264658468 396987702 463152319 529316936 793975404 926304638 1389456957 1587950808 1852609276 2778913914 3705218552 5557827828 11115655656