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87186516409 is a prime number
BaseRepresentation
bin101000100110010111…
…0001010100110111001
322100001011210221012101
41101030232022212321
52412024222011114
6104015233343401
76204364106326
oct1211456124671
9270034727171
1087186516409
1133a80574243
1214a92707b61
1382b5c839a5
1443113a7b4d
15240437bd74
hex144cb8a9b9

87186516409 has 2 divisors, whose sum is σ = 87186516410. Its totient is φ = 87186516408.

The previous prime is 87186516397. The next prime is 87186516413. The reversal of 87186516409 is 90461568178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62357581225 + 24828935184 = 249715^2 + 157572^2 .

It is a cyclic number.

It is not a de Polignac number, because 87186516409 - 211 = 87186514361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87186516409.

It is not a weakly prime, because it can be changed into another prime (87186516449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43593258204 + 43593258205.

It is an arithmetic number, because the mean of its divisors is an integer number (43593258205).

Almost surely, 287186516409 is an apocalyptic number.

It is an amenable number.

87186516409 is a deficient number, since it is larger than the sum of its proper divisors (1).

87186516409 is an equidigital number, since it uses as much as digits as its factorization.

87186516409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 87186516409 in words is "eighty-seven billion, one hundred eighty-six million, five hundred sixteen thousand, four hundred nine".