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18742998240 = 253653743101
BaseRepresentation
bin10001011101001010…
…110111010011100000
31210101020020222000000
4101131022313103200
5301341201420430
612335503300000
71232316566511
oct213512672340
953336228000
1018742998240
117a48a2aa9a
123770baa600
1319c9146105
14c9b398a08
1574a720e60
hex45d2b74e0

18742998240 has 672 divisors, whose sum is σ = 70460935776. Its totient is φ = 4702924800.

The previous prime is 18742998227. The next prime is 18742998269. The reversal of 18742998240 is 4289924781.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 185574190 + ... + 185574290.

It is an arithmetic number, because the mean of its divisors is an integer number (104852583).

Almost surely, 218742998240 is an apocalyptic number.

18742998240 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 18742998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230467888).

18742998240 is an abundant number, since it is smaller than the sum of its proper divisors (51717937536).

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

18742998240 is a wasteful number, since it uses less digits than its factorization.

18742998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18742998240 in words is "eighteen billion, seven hundred forty-two million, nine hundred ninety-eight thousand, two hundred forty".