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126604400149 is a prime number
BaseRepresentation
bin111010111101000110…
…1011101011000010101
3110002210021111220022101
41311322031131120111
54033241211301044
6134054455402101
712101242434223
oct1657215353025
9402707456271
10126604400149
1149768979767
1220653683331
13bc2855c756
1461b0525b13
15345ebc9cd4
hex1d7a35d615

126604400149 has 2 divisors, whose sum is σ = 126604400150. Its totient is φ = 126604400148.

The previous prime is 126604400147. The next prime is 126604400249. The reversal of 126604400149 is 941004406621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108830711025 + 17773689124 = 329895^2 + 133318^2 .

It is an emirp because it is prime and its reverse (941004406621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126604400149 - 21 = 126604400147 is a prime.

It is a super-2 number, since 2×1266044001492 (a number of 23 digits) contains 22 as substring.

Together with 126604400147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126604400141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63302200074 + 63302200075.

It is an arithmetic number, because the mean of its divisors is an integer number (63302200075).

Almost surely, 2126604400149 is an apocalyptic number.

It is an amenable number.

126604400149 is a deficient number, since it is larger than the sum of its proper divisors (1).

126604400149 is an equidigital number, since it uses as much as digits as its factorization.

126604400149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 126604400149 in words is "one hundred twenty-six billion, six hundred four million, four hundred thousand, one hundred forty-nine".