Search a number
-
+
18714084480 = 273457133967
BaseRepresentation
bin10001011011011100…
…100100010010000000
31210022012211222210000
4101123130210102000
5301311301200410
612332551440000
71231516044030
oct213334442200
953265758700
1018714084480
117a33681723
123763386000
1319c3161690
14c975cd8c0
15747e0ddc0
hex45b724480

18714084480 has 640 divisors, whose sum is σ = 82274734080. Its totient is φ = 3947470848.

The previous prime is 18714084461. The next prime is 18714084533. The reversal of 18714084480 is 8448041781.

It is a happy number.

18714084480 is a `hidden beast` number, since 1 + 87 + 14 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 4715457 + ... + 4719423.

It is an arithmetic number, because the mean of its divisors is an integer number (128554272).

Almost surely, 218714084480 is an apocalyptic number.

18714084480 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 18714084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137367040).

18714084480 is an abundant number, since it is smaller than the sum of its proper divisors (63560649600).

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

18714084480 is a wasteful number, since it uses less digits than its factorization.

18714084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 18714084480 in words is "eighteen billion, seven hundred fourteen million, eighty-four thousand, four hundred eighty".