Search a number
-
+
42213345552 = 24327216133709
BaseRepresentation
bin100111010100000111…
…001000100100010000
311000221220212010210200
4213110013020210100
51142423104024202
631220442255200
73023041342200
oct472407104420
9130856763720
1042213345552
11169a2373344
1282211b7500
133c997a74a1
142086520400
151170e8ce1c
hex9d41c8910

42213345552 has 180 divisors, whose sum is σ = 137548969740. Its totient is φ = 12050228736.

The previous prime is 42213345529. The next prime is 42213345553. The reversal of 42213345552 is 25554331224.

42213345552 is a `hidden beast` number, since 4 + 22 + 133 + 455 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18609325056 + 23604020496 = 136416^2 + 153636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42213345553) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11379474 + ... + 11383182.

It is an arithmetic number, because the mean of its divisors is an integer number (764160943).

Almost surely, 242213345552 is an apocalyptic number.

42213345552 is a gapful number since it is divisible by the number (42) 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 42213345552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774484870).

42213345552 is an abundant number, since it is smaller than the sum of its proper divisors (95335624188).

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

42213345552 is a wasteful number, since it uses less digits than its factorization.

42213345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5334 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 42213345552 its reverse (25554331224), we get a palindrome (67767676776).

The spelling of 42213345552 in words is "forty-two billion, two hundred thirteen million, three hundred forty-five thousand, five hundred fifty-two".