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18490106880 = 2103257219431
BaseRepresentation
bin10001001110000110…
…001010010000000000
31202201121101202021100
4101032012022100000
5300331431410010
612254431054400
71223126213100
oct211606122000
952647352240
1018490106880
117929201a73
123700371400
13198893065b
14c75969200
1573341a2c0
hex44e18a400

18490106880 has 792 divisors, whose sum is σ = 78632311680. Its totient is φ = 3994583040.

The previous prime is 18490106867. The next prime is 18490106881. The reversal of 18490106880 is 8860109481.

18490106880 is a `hidden beast` number, since 18 + 490 + 10 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18490106881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42900265 + ... + 42900695.

Almost surely, 218490106880 is an apocalyptic number.

18490106880 is a gapful number since it is divisible by the number (10) 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 18490106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39316155840).

18490106880 is an abundant number, since it is smaller than the sum of its proper divisors (60142204800).

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

18490106880 is a wasteful number, since it uses less digits than its factorization.

18490106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18490106880 in words is "eighteen billion, four hundred ninety million, one hundred six thousand, eight hundred eighty".