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199972637573 is a prime number
BaseRepresentation
bin1011101000111101001…
…1000100101110000101
3201010011102210112022012
42322033103010232011
511234020443400243
6231511031344005
720306336242112
oct2721723045605
9633142715265
10199972637573
1177898382425
123290a522005
1315b1b75b8a7
1499705db909
155305d6bd18
hex2e8f4c4b85

199972637573 has 2 divisors, whose sum is σ = 199972637574. Its totient is φ = 199972637572.

The previous prime is 199972637503. The next prime is 199972637581. The reversal of 199972637573 is 375736279991.

199972637573 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., 153853786564 + 46118851009 = 392242^2 + 214753^2 .

It is a cyclic number.

It is not a de Polignac number, because 199972637573 - 226 = 199905528709 is a prime.

It is a super-2 number, since 2×1999726375732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199972637503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99986318786 + 99986318787.

It is an arithmetic number, because the mean of its divisors is an integer number (99986318787).

Almost surely, 2199972637573 is an apocalyptic number.

It is an amenable number.

199972637573 is a deficient number, since it is larger than the sum of its proper divisors (1).

199972637573 is an equidigital number, since it uses as much as digits as its factorization.

199972637573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135025380, while the sum is 68.

The spelling of 199972637573 in words is "one hundred ninety-nine billion, nine hundred seventy-two million, six hundred thirty-seven thousand, five hundred seventy-three".