Search a number
-
+
18452812500 = 2231057
BaseRepresentation
bin10001001011110111…
…111001001011010100
31202122000020000000000
4101023313321023110
5300242410000000
612251015451300
71222164214113
oct211367711324
952560200000
1018452812500
11790a14a171
1236ab986b30
131980ca3485
14c70a1bc7a
15730000000
hex44bdf92d4

18452812500 has 264 divisors, whose sum is σ = 60547794216. Its totient is φ = 4920750000.

The previous prime is 18452812493. The next prime is 18452812513. The reversal of 18452812500 is 521825481.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18452812500 is a `hidden beast` number, since 1 + 8 + 4 + 528 + 125 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18254171664 + 198640836 = 135108^2 + 14094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3375 × 2025 × 2700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 3690562498 + ... + 3690562502.

Almost surely, 218452812500 is an apocalyptic number.

18452812500 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 18452812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30273897108).

18452812500 is an abundant number, since it is smaller than the sum of its proper divisors (42094981716).

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

18452812500 is an frugal number, since it uses more digits than its factorization.

18452812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 18452812500 in words is "eighteen billion, four hundred fifty-two million, eight hundred twelve thousand, five hundred".