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292398666121 = 137239472
BaseRepresentation
bin1000100000101000101…
…00011001000110001001
31000221201202200020221201
410100110110121012021
514242313024303441
6342154234104201
730060624440152
oct4202424310611
91027652606851
10292398666121
11103007473691
124880387b061
132175b080c03
141021b7b2929
1579151b1c31
hex4414519189

292398666121 has 9 divisors (see below), whose sum is σ = 294623186599. Its totient is φ = 290190828784.

The previous prime is 292398666113. The next prime is 292398666137. The reversal of 292398666121 is 121666893292.

The square root of 292398666121 is 540739.

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

It can be written as a sum of positive squares in only one way, i.e., 171756369225 + 120642296896 = 414435^2 + 347336^2 .

It is not a de Polignac number, because 292398666121 - 23 = 292398666113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (292398606121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74079270 + ... + 74083216.

Almost surely, 2292398666121 is an apocalyptic number.

292398666121 is the 540739-th square number.

292398666121 is the 270370-th centered octagonal number.

It is an amenable number.

292398666121 is a deficient number, since it is larger than the sum of its proper divisors (2224520478).

292398666121 is an frugal number, since it uses more digits than its factorization.

292398666121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 4084 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The spelling of 292398666121 in words is "two hundred ninety-two billion, three hundred ninety-eight million, six hundred sixty-six thousand, one hundred twenty-one".

Divisors: 1 137 3947 18769 540739 15578809 74081243 2134296833 292398666121