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11083535892 = 2232111313811559
BaseRepresentation
bin10100101001010000…
…10101011000010100
31001121102121221221100
422110220111120110
5140144341122032
65031450350100
7541442333502
oct122450253024
931542557840
1011083535892
114778404620
122193a2b330
131078325280
14772017672
1544d09097c
hex294a15614

11083535892 has 144 divisors (see below), whose sum is σ = 32959704960. Its totient is φ = 3096057600.

The previous prime is 11083535861. The next prime is 11083535893. The reversal of 11083535892 is 29853538011.

11083535892 is a `hidden beast` number, since 1 + 10 + 8 + 3 + 53 + 589 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083535893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108609 + ... + 7110167.

It is an arithmetic number, because the mean of its divisors is an integer number (228886840).

Almost surely, 211083535892 is an apocalyptic number.

11083535892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11083535892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479852480).

11083535892 is an abundant number, since it is smaller than the sum of its proper divisors (21876169068).

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

11083535892 is a wasteful number, since it uses less digits than its factorization.

11083535892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11083535892 in words is "eleven billion, eighty-three million, five hundred thirty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1381 1559 1716 2574 2762 3118 4143 4677 5148 5524 6236 8286 9354 12429 14031 15191 16572 17149 17953 18708 20267 24858 28062 30382 34298 35906 40534 45573 49716 51447 53859 56124 60764 60801 68596 71812 81068 91146 102894 107718 121602 136719 154341 161577 182292 182403 197483 205788 215436 222937 243204 273438 308682 323154 364806 394966 445874 546876 592449 617364 646308 668811 729612 789932 891748 1184898 1337622 1777347 2006433 2152979 2369796 2675244 3554694 4012866 4305958 6458937 7109388 8025732 8611916 12917874 19376811 23682769 25835748 27988727 38753622 47365538 55977454 71048307 77507244 83966181 94731076 111954908 142096614 167932362 213144921 251898543 284193228 307875997 335864724 426289842 503797086 615751994 852579684 923627991 1007594172 1231503988 1847255982 2770883973 3694511964 5541767946 11083535892