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90202814413 is a prime number
BaseRepresentation
bin101010000000010000…
…0011011011111001101
322121211101111202012021
41110000200123133031
52434213410030123
6105234423210141
76342211162135
oct1240040333715
9277741452167
1090202814413
1135289156608
12155948a6951
138676b535ca
144519c13ac5
15252e08ec5d
hex150081b7cd

90202814413 has 2 divisors, whose sum is σ = 90202814414. Its totient is φ = 90202814412.

The previous prime is 90202814407. The next prime is 90202814447. The reversal of 90202814413 is 31441820209.

It is an a-pointer prime, because the next prime (90202814447) can be obtained adding 90202814413 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65332893609 + 24869920804 = 255603^2 + 157702^2 .

It is a cyclic number.

It is not a de Polignac number, because 90202814413 - 25 = 90202814381 is a prime.

It is a super-2 number, since 2×902028144132 (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 (90202815413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45101407206 + 45101407207.

It is an arithmetic number, because the mean of its divisors is an integer number (45101407207).

Almost surely, 290202814413 is an apocalyptic number.

It is an amenable number.

90202814413 is a deficient number, since it is larger than the sum of its proper divisors (1).

90202814413 is an equidigital number, since it uses as much as digits as its factorization.

90202814413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 90202814413 in words is "ninety billion, two hundred two million, eight hundred fourteen thousand, four hundred thirteen".