Search a number
-
+
296770617441 = 3232974513049
BaseRepresentation
bin1000101000110001110…
…10000100000001100001
31001101000110021101200200
410110120322010001201
514330241234224231
6344200132135413
730304152425004
oct4243072040141
91041013241620
10296770617441
111049503053a1
1249623a67569
1321ca6a7315c
14105142a953b
157abde09be6
hex4518e84061

296770617441 has 6 divisors (see below), whose sum is σ = 428668669650. Its totient is φ = 197847078288.

The previous prime is 296770617427. The next prime is 296770617457. The reversal of 296770617441 is 144716077692.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 161423150625 + 135347466816 = 401775^2 + 367896^2 .

It is not a de Polignac number, because 296770617441 - 222 = 296766423137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (296770617461) 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 5 ways as a sum of consecutive naturals, for example, 16487256516 + ... + 16487256533.

It is an arithmetic number, because the mean of its divisors is an integer number (71444778275).

Almost surely, 2296770617441 is an apocalyptic number.

It is an amenable number.

296770617441 is a deficient number, since it is larger than the sum of its proper divisors (131898052209).

296770617441 is a wasteful number, since it uses less digits than its factorization.

296770617441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32974513055 (or 32974513052 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 296770617441 in words is "two hundred ninety-six billion, seven hundred seventy million, six hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 9 32974513049 98923539147 296770617441