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145872526817 is a prime number
BaseRepresentation
bin1000011111011010101…
…1100001110111100001
3111221112002220011002102
42013312223201313201
54342221331324232
6151002442300145
713352600006513
oct2076653416741
9457462804072
10145872526817
1156956269496
12243304b7655
13109a9418434
1470bb537bb3
153bdb579662
hex21f6ae1de1

145872526817 has 2 divisors, whose sum is σ = 145872526818. Its totient is φ = 145872526816.

The previous prime is 145872526783. The next prime is 145872526829. The reversal of 145872526817 is 718625278541.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75097373521 + 70775153296 = 274039^2 + 266036^2 .

It is an emirp because it is prime and its reverse (718625278541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145872526817 - 222 = 145868332513 is a prime.

It is not a weakly prime, because it can be changed into another prime (145872520817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72936263408 + 72936263409.

It is an arithmetic number, because the mean of its divisors is an integer number (72936263409).

Almost surely, 2145872526817 is an apocalyptic number.

It is an amenable number.

145872526817 is a deficient number, since it is larger than the sum of its proper divisors (1).

145872526817 is an equidigital number, since it uses as much as digits as its factorization.

145872526817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7526400, while the sum is 56.

The spelling of 145872526817 in words is "one hundred forty-five billion, eight hundred seventy-two million, five hundred twenty-six thousand, eight hundred seventeen".