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2641541381 is a prime number
BaseRepresentation
bin1001110101110010…
…1011100100000101
320211002112012112222
42131130223210011
520402213311011
61114041222125
7122313505553
oct23534534405
96732465488
102641541381
111136099156
12618791945
1333135924b
141b0b76bd3
15106d88ddb
hex9d72b905

2641541381 has 2 divisors, whose sum is σ = 2641541382. Its totient is φ = 2641541380.

The previous prime is 2641541363. The next prime is 2641541387. The reversal of 2641541381 is 1831451462.

2641541381 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., 1448944225 + 1192597156 = 38065^2 + 34534^2 .

It is a cyclic number.

It is not a de Polignac number, because 2641541381 - 218 = 2641279237 is a prime.

It is a super-2 number, since 2×26415413812 = 13955481735070774322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2641541387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1320770690 + 1320770691.

It is an arithmetic number, because the mean of its divisors is an integer number (1320770691).

Almost surely, 22641541381 is an apocalyptic number.

It is an amenable number.

2641541381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2641541381 is an equidigital number, since it uses as much as digits as its factorization.

2641541381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23040, while the sum is 35.

The square root of 2641541381 is about 51395.9276694175. The cubic root of 2641541381 is about 1382.3535733442.

The spelling of 2641541381 in words is "two billion, six hundred forty-one million, five hundred forty-one thousand, three hundred eighty-one".