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642124041620 = 225286111222021
BaseRepresentation
bin10010101100000011001…
…00110100110110010100
32021101102201200002022212
421112001210310312110
541010032223312440
61210553202412552
764251301203665
oct11260144646624
92241381602285
10642124041620
11228361310536
12a4546061158
1348723a97819
142311699936c
1511a8306a465
hex9581934d94

642124041620 has 24 divisors (see below), whose sum is σ = 1348931932488. Its totient is φ = 256759817600.

The previous prime is 642124041617. The next prime is 642124041641. The reversal of 642124041620 is 26140421246.

It can be written as a sum of positive squares in 4 ways, for example, as 2997343504 + 639126698116 = 54748^2 + 799454^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5553791 + ... + 5668230.

It is an arithmetic number, because the mean of its divisors is an integer number (56205497187).

Almost surely, 2642124041620 is an apocalyptic number.

It is an amenable number.

642124041620 is an abundant number, since it is smaller than the sum of its proper divisors (706807890868).

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

642124041620 is a wasteful number, since it uses less digits than its factorization.

642124041620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224891 (or 11224889 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 642124041620 its reverse (26140421246), we get a palindrome (668264462866).

The spelling of 642124041620 in words is "six hundred forty-two billion, one hundred twenty-four million, forty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 2861 5722 11444 14305 28610 57220 11222021 22444042 44888084 56110105 112220210 224440420 32106202081 64212404162 128424808324 160531010405 321062020810 642124041620