Search a number
-
+
489752091360 = 2532572314143127
BaseRepresentation
bin1110010000001110111…
…11111101101011100000
31201211010122222000101200
413020013133331223200
531011003013410420
61012553343001200
750245341042600
oct7100737755340
91654118860350
10489752091360
11179780319014
127ab00b99200
133724cca0acc
14199c01aac00
15cb16105b90
hex72077fdae0

489752091360 has 1728 divisors, whose sum is σ = 2120176041984. Its totient is φ = 102419251200.

The previous prime is 489752091331. The next prime is 489752091419. The reversal of 489752091360 is 63190257984.

489752091360 is a `hidden beast` number, since 4 + 8 + 9 + 75 + 209 + 1 + 360 = 666.

It is a super-2 number, since 2×4897520913602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 489752091297 and 489752091306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3856315617 + ... + 3856315743.

It is an arithmetic number, because the mean of its divisors is an integer number (1226953728).

It is a 1-persistent number, because it is pandigital, but 2⋅489752091360 = 979504182720 is not.

Almost surely, 2489752091360 is an apocalyptic number.

489752091360 is a gapful number since it is divisible by the number (40) 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 489752091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060088020992).

489752091360 is an abundant number, since it is smaller than the sum of its proper divisors (1630423950624).

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

489752091360 is a wasteful number, since it uses less digits than its factorization.

489752091360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 489752091360 in words is "four hundred eighty-nine billion, seven hundred fifty-two million, ninety-one thousand, three hundred sixty".