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296168370268849 = 132232575572
BaseRepresentation
bin100001101010111010001001…
…0100000001110101010110001
31102211122102022221121202012021
41003111310102200032222301
5302304410310242100344
62525521512045231441
7116245313211233221
oct10325642240165261
91384572287552167
10296168370268849
1186406333a17981
12292734b7b62581
13c934732a1ac00
14531c8a893a081
1524390440cab84
hex10d5d1280eab1

296168370268849 has 27 divisors (see below), whose sum is σ = 335258706802593. Its totient is φ = 261495288623712.

The previous prime is 296168370268843. The next prime is 296168370268853. The reversal of 296168370268849 is 948862073861692.

The square root of 296168370268849 is 17209543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 149584078428849 + 146584291840000 = 12230457^2 + 12107200^2 .

It is not a de Polignac number, because 296168370268849 - 211 = 296168370266801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (296168370268843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5145624579 + ... + 5145682135.

Almost surely, 2296168370268849 is an apocalyptic number.

296168370268849 is the 17209543-rd square number.

296168370268849 is the 8604772-nd centered octagonal number.

It is an amenable number.

296168370268849 is a deficient number, since it is larger than the sum of its proper divisors (39090336533744).

296168370268849 is an frugal number, since it uses more digits than its factorization.

296168370268849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115186 (or 57593 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 79.

The spelling of 296168370268849 in words is "two hundred ninety-six trillion, one hundred sixty-eight billion, three hundred seventy million, two hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 13 23 169 299 529 3887 6877 57557 89401 748241 1323811 9727133 17209543 30447653 223724059 395819489 3312808249 5145653357 43066507237 76194589727 559864594081 990529666451 1752475563721 12876885663863 22782182328373 296168370268849