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4037857961 is a prime number
BaseRepresentation
bin1111000010101100…
…1101001010101001
3101102101221102210212
43300223031022221
531232142423321
61504401150505
7202030140434
oct36053151251
911371842725
104037857961
1117922a14a5
1294832b435
134c4718287
142a43aa81b
1518975255b
hexf0acd2a9

4037857961 has 2 divisors, whose sum is σ = 4037857962. Its totient is φ = 4037857960.

The previous prime is 4037857921. The next prime is 4037857963. The reversal of 4037857961 is 1697587304.

4037857961 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., 4027171600 + 10686361 = 63460^2 + 3269^2 .

It is a cyclic number.

It is not a de Polignac number, because 4037857961 - 230 = 2964116137 is a prime.

It is a super-2 number, since 2×40378579612 = 32608593826422155042, which contains 22 as substring.

Together with 4037857963, 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 (4037857963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2018928980 + 2018928981.

It is an arithmetic number, because the mean of its divisors is an integer number (2018928981).

Almost surely, 24037857961 is an apocalyptic number.

It is an amenable number.

4037857961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4037857961 is an equidigital number, since it uses as much as digits as its factorization.

4037857961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 4037857961 is about 63544.1418306991. The cubic root of 4037857961 is about 1592.3933157865.

The spelling of 4037857961 in words is "four billion, thirty-seven million, eight hundred fifty-seven thousand, nine hundred sixty-one".