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18872544240 = 24335112163443
BaseRepresentation
bin10001100100111001…
…000010101111110000
31210201021000120201000
4101210321002233300
5302122332403430
612400412042000
71235451656604
oct214471025760
953637016630
1018872544240
118005071900
1237a8463300
131a19c33054
14cb067b504
15756caee60
hex464e42bf0

18872544240 has 480 divisors, whose sum is σ = 72052888320. Its totient is φ = 4536829440.

The previous prime is 18872544227. The next prime is 18872544241. The reversal of 18872544240 is 4244527881.

18872544240 is a `hidden beast` number, since 1 + 8 + 87 + 2 + 544 + 24 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18872544241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42601459 + ... + 42601901.

It is an arithmetic number, because the mean of its divisors is an integer number (150110184).

Almost surely, 218872544240 is an apocalyptic number.

18872544240 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 18872544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36026444160).

18872544240 is an abundant number, since it is smaller than the sum of its proper divisors (53180344080).

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

18872544240 is a wasteful number, since it uses less digits than its factorization.

18872544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 18872544240 in words is "eighteen billion, eight hundred seventy-two million, five hundred forty-four thousand, two hundred forty".