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11083222728 = 23321926532
BaseRepresentation
bin10100101001001110…
…01000111011001000
31001121102001001100200
422110213020323020
5140144301111403
65031435532200
7541436560464
oct122447107310
931542031320
1011083222728
114778210306
1221938ba060
131078245876
14771d754a4
1544d02cca3
hex2949c8ec8

11083222728 has 108 divisors (see below), whose sum is σ = 31728645585. Its totient is φ = 3494605248.

The previous prime is 11083222663. The next prime is 11083222729. The reversal of 11083222728 is 82722238011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10224849924 + 858372804 = 101118^2 + 29298^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11083222692 and 11083222701.

It is not an unprimeable number, because it can be changed into a prime (11083222729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16972450 + ... + 16973102.

Almost surely, 211083222728 is an apocalyptic number.

11083222728 is a gapful number since it is divisible by the number (18) 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 11083222728

11083222728 is an abundant number, since it is smaller than the sum of its proper divisors (20645422857).

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

11083222728 is an equidigital number, since it uses as much as digits as its factorization.

11083222728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11083222728 in words is "eleven billion, eighty-three million, two hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 653 684 722 1083 1306 1368 1444 1959 2166 2612 2888 3249 3918 4332 5224 5877 6498 7836 8664 11754 12407 12996 15672 23508 24814 25992 37221 47016 49628 74442 99256 111663 148884 223326 235733 297768 426409 446652 471466 707199 852818 893304 942932 1279227 1414398 1705636 1885864 2121597 2558454 2828796 3411272 3837681 4243194 5116908 5657592 7675362 8101771 8486388 10233816 15350724 16203542 16972776 24305313 30701448 32407084 48610626 64814168 72915939 97221252 145831878 153933649 194442504 291663756 307867298 461800947 583327512 615734596 923601894 1231469192 1385402841 1847203788 2770805682 3694407576 5541611364 11083222728