Search a number
-
+
1058543220420 = 223557175633251
BaseRepresentation
bin11110110011101100001…
…01111011011011000100
310202012021200211011100000
433121312011323123010
5114320344031023140
62130142114521300
7136322454625650
oct17316605733304
93665250734300
101058543220420
11378a20062994
1215119bb96230
1378a87c8707a
143933b647a60
151c80615aa30
hexf67617b6c4

1058543220420 has 576 divisors, whose sum is σ = 4037781436416. Its totient is φ = 227245824000.

The previous prime is 1058543220347. The next prime is 1058543220421. The reversal of 1058543220420 is 240223458501.

1058543220420 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 4 + 3 + 220 + 420 = 666.

It is a super-2 number, since 2×10585432204202 (a number of 25 digits) contains 22 as substring.

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 (1058543220421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325603795 + ... + 325607045.

It is an arithmetic number, because the mean of its divisors is an integer number (7010037216).

Almost surely, 21058543220420 is an apocalyptic number.

1058543220420 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 1058543220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018890718208).

1058543220420 is an abundant number, since it is smaller than the sum of its proper divisors (2979238215996).

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

1058543220420 is a wasteful number, since it uses less digits than its factorization.

1058543220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1058543220420 its reverse (240223458501), we get a palindrome (1298766678921).

The spelling of 1058543220420 in words is "one trillion, fifty-eight billion, five hundred forty-three million, two hundred twenty thousand, four hundred twenty".