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5005928957 is a prime number
BaseRepresentation
bin1001010100110000…
…00110100111111101
3110220212112112120012
410222120012213331
540223004211312
62144422233005
7235023460031
oct45230064775
913825475505
105005928957
112139797577
12b78585765
1361a156453
14356ba61c1
151e4728322
hex12a6069fd

5005928957 has 2 divisors, whose sum is σ = 5005928958. Its totient is φ = 5005928956.

The previous prime is 5005928923. The next prime is 5005928959. The reversal of 5005928957 is 7598295005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4251822436 + 754106521 = 65206^2 + 27461^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005928957 - 232 = 710961661 is a prime.

It is a super-2 number, since 2×50059289572 = 50118649445062215698, which contains 22 as substring.

Together with 5005928959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005928959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502964478 + 2502964479.

It is an arithmetic number, because the mean of its divisors is an integer number (2502964479).

Almost surely, 25005928957 is an apocalyptic number.

It is an amenable number.

5005928957 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005928957 is an equidigital number, since it uses as much as digits as its factorization.

5005928957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 50.

The square root of 5005928957 is about 70752.5897547221. The cubic root of 5005928957 is about 1710.6515712877.

The spelling of 5005928957 in words is "five billion, five million, nine hundred twenty-eight thousand, nine hundred fifty-seven".