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90435406417 is a prime number
BaseRepresentation
bin101010000111001011…
…1101100101001010001
322122102121011122102221
41110032113230221101
52440202431001132
6105313452341041
76351034162006
oct1241627545121
9278377148387
1090435406417
113539847a404
121563a774781
1386b30ac605
14453ca7b8ad
1525446d5e97
hex150e5eca51

90435406417 has 2 divisors, whose sum is σ = 90435406418. Its totient is φ = 90435406416.

The previous prime is 90435406387. The next prime is 90435406423. The reversal of 90435406417 is 71460453409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90194504976 + 240901441 = 300324^2 + 15521^2 .

It is a cyclic number.

It is not a de Polignac number, because 90435406417 - 27 = 90435406289 is a prime.

It is not a weakly prime, because it can be changed into another prime (90435406717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45217703208 + 45217703209.

It is an arithmetic number, because the mean of its divisors is an integer number (45217703209).

Almost surely, 290435406417 is an apocalyptic number.

It is an amenable number.

90435406417 is a deficient number, since it is larger than the sum of its proper divisors (1).

90435406417 is an equidigital number, since it uses as much as digits as its factorization.

90435406417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 90435406417 in words is "ninety billion, four hundred thirty-five million, four hundred six thousand, four hundred seventeen".