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238257464752933 is a prime number
BaseRepresentation
bin110110001011000110100011…
…100011010011101100100101
31011020121012011101001210222221
4312023012203203103230211
5222212102241434043213
62202421545051552341
7101120351041225153
oct6613064343235445
91136535141053887
10238257464752933
1169a0947254818a
122287ba86a5b6b1
13a2c3775a4ab22
1442b9a195da3d3
151c8295411638d
hexd8b1a38d3b25

238257464752933 has 2 divisors, whose sum is σ = 238257464752934. Its totient is φ = 238257464752932.

The previous prime is 238257464752823. The next prime is 238257464752949. The reversal of 238257464752933 is 339257464752832.

238257464752933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237812391641889 + 445073111044 = 15421167^2 + 667138^2 .

It is a cyclic number.

It is not a de Polignac number, because 238257464752933 - 241 = 236058441497381 is a prime.

It is a super-2 number, since 2×2382574647529332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (238257464753933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119128732376466 + 119128732376467.

It is an arithmetic number, because the mean of its divisors is an integer number (119128732376467).

Almost surely, 2238257464752933 is an apocalyptic number.

It is an amenable number.

238257464752933 is a deficient number, since it is larger than the sum of its proper divisors (1).

238257464752933 is an equidigital number, since it uses as much as digits as its factorization.

238257464752933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1828915200, while the sum is 70.

The spelling of 238257464752933 in words is "two hundred thirty-eight trillion, two hundred fifty-seven billion, four hundred sixty-four million, seven hundred fifty-two thousand, nine hundred thirty-three".