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11102472995328 = 293211313178191
BaseRepresentation
bin1010000110001111111011…
…1101011000001000000000
31110022101102102200012101200
42201203332331120020000
52423400331041322303
635340223343301200
72224061426235621
oct241437675301000
943271372605350
1011102472995328
1135a0594624000
1212b38978aa800
13626c60399430
142a5510c17a48
15143c02a883a3
hexa18fef58200

11102472995328 has 960 divisors, whose sum is σ = 40193011482624. Its totient is φ = 2922548428800.

The previous prime is 11102472995321. The next prime is 11102472995351. The reversal of 11102472995328 is 82359927420111.

11102472995328 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 24 + 7 + 299 + 5 + 328 = 666.

It is a super-2 number, since 2×111024729953282 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11102472995321) 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 95 ways as a sum of consecutive naturals, for example, 1355443713 + ... + 1355451903.

Almost surely, 211102472995328 is an apocalyptic number.

11102472995328 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 11102472995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096505741312).

11102472995328 is an abundant number, since it is smaller than the sum of its proper divisors (29090538487296).

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

11102472995328 is a wasteful number, since it uses less digits than its factorization.

11102472995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11102472995328 in words is "eleven trillion, one hundred two billion, four hundred seventy-two million, nine hundred ninety-five thousand, three hundred twenty-eight".