Search a number
-
+
18986554224 = 243711107461
BaseRepresentation
bin10001101011101011…
…111101001101110000
31211000012112220000000
4101223223331031300
5302341024213344
612420003430000
71241335022331
oct215353751560
954005486000
1018986554224
118063462230
12381a685300
131a37740691
14cc1878288
15761cd0a69
hex46bafd370

18986554224 has 320 divisors, whose sum is σ = 60881103360. Its totient is φ = 5687366400.

The previous prime is 18986554217. The next prime is 18986554231. The reversal of 18986554224 is 42245568981.

18986554224 is a `hidden beast` number, since 1 + 8 + 9 + 86 + 554 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18986554217) and next prime (18986554231).

It is a super-3 number, since 3×189865542243 (a number of 32 digits) contains 333 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41185354 + ... + 41185814.

It is an arithmetic number, because the mean of its divisors is an integer number (190253448).

Almost surely, 218986554224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18986554224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30440551680).

18986554224 is an abundant number, since it is smaller than the sum of its proper divisors (41894549136).

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

18986554224 is a wasteful number, since it uses less digits than its factorization.

18986554224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 18986554224 in words is "eighteen billion, nine hundred eighty-six million, five hundred fifty-four thousand, two hundred twenty-four".