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11103187968 = 210331723623
BaseRepresentation
bin10100101011100110…
…10011010000000000
31001122210121101112000
422111303103100000
5140214404003333
65033431504000
7542101353255
oct122563232000
931583541460
1011103187968
114788507504
12219a528000
13107c416212
1477489142c
1544eb73713
hex295cd3400

11103187968 has 176 divisors, whose sum is σ = 34817996160. Its totient is φ = 3483205632.

The previous prime is 11103187913. The next prime is 11103187981. The reversal of 11103187968 is 86978130111.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 458205 + ... + 481827.

Almost surely, 211103187968 is an apocalyptic number.

11103187968 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 11103187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408998080).

11103187968 is an abundant number, since it is smaller than the sum of its proper divisors (23714808192).

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

11103187968 is a wasteful number, since it uses less digits than its factorization.

11103187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23669 (or 23645 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11103187968 in words is "eleven billion, one hundred three million, one hundred eighty-seven thousand, nine hundred sixty-eight".