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126126550449 = 3223251472
BaseRepresentation
bin111010101110110111…
…0100110110110110001
3110001112222100121202100
41311131232212312301
54031301344103244
6133535225411013
712053350663344
oct1653556466661
9401488317670
10126126550449
1149543171159
122053b639a69
13bb80561753
146166c9845b
153432c89b69
hex1d5dba6db1

126126550449 has 27 divisors (see below), whose sum is σ = 190485186073. Its totient is φ = 80412898632.

The previous prime is 126126550447. The next prime is 126126550453. The reversal of 126126550449 is 944055621621.

The square root of 126126550449 is 355143.

It is a perfect power (a square), and thus also a powerful number.

126126550449 is a `hidden beast` number, since 12 + 6 + 126 + 5 + 504 + 4 + 9 = 666.

It is not a de Polignac number, because 126126550449 - 21 = 126126550447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126126550441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24502294 + ... + 24507440.

Almost surely, 2126126550449 is an apocalyptic number.

126126550449 is the 355143-rd square number.

126126550449 is the 177572-nd centered octagonal number.

It is an amenable number.

126126550449 is a deficient number, since it is larger than the sum of its proper divisors (64358635624).

126126550449 is an frugal number, since it uses more digits than its factorization.

126126550449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 126126550449 in words is "one hundred twenty-six billion, one hundred twenty-six million, five hundred fifty thousand, four hundred forty-nine".

Divisors: 1 3 9 23 69 207 529 1587 4761 5147 15441 46323 118381 355143 1065429 2722763 8168289 24504867 26491609 79474827 238424481 609307007 1827921021 5483763063 14014061161 42042183483 126126550449