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642005564041 is a prime number
BaseRepresentation
bin10010101011110101000…
…00110111101010001001
32021101010110201210122101
421111322200313222021
541004311411022131
61210533331153401
764245332153212
oct11257240675211
92241113653571
10642005564041
11228300449586
12a4512445861
134870538484a
1423104d58409
1511a77965c61
hex957a837a89

642005564041 has 2 divisors, whose sum is σ = 642005564042. Its totient is φ = 642005564040.

The previous prime is 642005564021. The next prime is 642005564059. The reversal of 642005564041 is 140465500246.

642005564041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 611344153225 + 30661410816 = 781885^2 + 175104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-642005564041 is a prime.

It is a super-2 number, since 2×6420055640412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (642005564021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321002782020 + 321002782021.

It is an arithmetic number, because the mean of its divisors is an integer number (321002782021).

Almost surely, 2642005564041 is an apocalyptic number.

It is an amenable number.

642005564041 is a deficient number, since it is larger than the sum of its proper divisors (1).

642005564041 is an equidigital number, since it uses as much as digits as its factorization.

642005564041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 642005564041 in words is "six hundred forty-two billion, five million, five hundred sixty-four thousand, forty-one".