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296735266690117 is a prime number
BaseRepresentation
bin100001101111000010001000…
…0001010011101010001000101
31102220122121120221020202122221
41003132010100022131101011
5302343202311233040432
62531034144415052341
7116334262350301003
oct10336042012352105
91386577527222587
10296735266690117
11866047a11a0842
12293453485110b1
13c9760283043b8
14533c0c64c9a73
152448b72b1ab97
hex10de11029d445

296735266690117 has 2 divisors, whose sum is σ = 296735266690118. Its totient is φ = 296735266690116.

The previous prime is 296735266690103. The next prime is 296735266690123. The reversal of 296735266690117 is 711096662537692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186802579045476 + 109932687644641 = 13667574^2 + 10484879^2 .

It is a cyclic number.

It is not a de Polignac number, because 296735266690117 - 223 = 296735258301509 is a prime.

It is a super-3 number, since 3×2967352666901173 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (296735266690217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 148367633345058 + 148367633345059.

It is an arithmetic number, because the mean of its divisors is an integer number (148367633345059).

Almost surely, 2296735266690117 is an apocalyptic number.

It is an amenable number.

296735266690117 is a deficient number, since it is larger than the sum of its proper divisors (1).

296735266690117 is an equidigital number, since it uses as much as digits as its factorization.

296735266690117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 308629440, while the sum is 70.

The spelling of 296735266690117 in words is "two hundred ninety-six trillion, seven hundred thirty-five billion, two hundred sixty-six million, six hundred ninety thousand, one hundred seventeen".