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2157918593 is a prime number
BaseRepresentation
bin1000000010011111…
…0011100110000001
312120101111121210212
42000213303212001
513404411343333
6554043403505
7104322001565
oct20047634601
95511447725
102157918593
11a080a81a6
12502823595
132850b960c
141668456a5
15c96a8448
hex809f3981

2157918593 has 2 divisors, whose sum is σ = 2157918594. Its totient is φ = 2157918592.

The previous prime is 2157918571. The next prime is 2157918643. The reversal of 2157918593 is 3958197512.

It is an a-pointer prime, because the next prime (2157918643) can be obtained adding 2157918593 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2105616769 + 52301824 = 45887^2 + 7232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2157918593 - 222 = 2153724289 is a prime.

It is a super-2 number, since 2×21579185932 = 9313225308030199298, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2157918563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1078959296 + 1078959297.

It is an arithmetic number, because the mean of its divisors is an integer number (1078959297).

Almost surely, 22157918593 is an apocalyptic number.

It is an amenable number.

2157918593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2157918593 is an equidigital number, since it uses as much as digits as its factorization.

2157918593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 680400, while the sum is 50.

The square root of 2157918593 is about 46453.4023834638. The cubic root of 2157918593 is about 1292.2454717431.

The spelling of 2157918593 in words is "two billion, one hundred fifty-seven million, nine hundred eighteen thousand, five hundred ninety-three".