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4193400857 is a prime number
BaseRepresentation
bin1111100111110010…
…0011100000011001
3101211020121211112212
43321330203200121
532042002311412
61532035044505
7205626214322
oct37174434031
911736554485
104193400857
11186207a148
12990440735
1351aa080a9
142bacd9449
15198229222
hexf9f23819

4193400857 has 2 divisors, whose sum is σ = 4193400858. Its totient is φ = 4193400856.

The previous prime is 4193400839. The next prime is 4193400859. The reversal of 4193400857 is 7580043914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3650697241 + 542703616 = 60421^2 + 23296^2 .

It is a cyclic number.

It is not a de Polignac number, because 4193400857 - 212 = 4193396761 is a prime.

It is a super-2 number, since 2×41934008572 = 35169221494976668898, which contains 22 as substring.

Together with 4193400859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4193400859) 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, 2096700428 + 2096700429.

It is an arithmetic number, because the mean of its divisors is an integer number (2096700429).

Almost surely, 24193400857 is an apocalyptic number.

It is an amenable number.

4193400857 is a deficient number, since it is larger than the sum of its proper divisors (1).

4193400857 is an equidigital number, since it uses as much as digits as its factorization.

4193400857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 4193400857 is about 64756.4734756302. The cubic root of 4193400857 is about 1612.5831835140.

The spelling of 4193400857 in words is "four billion, one hundred ninety-three million, four hundred thousand, eight hundred fifty-seven".