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202538648957 is a prime number
BaseRepresentation
bin1011110010100000111…
…1101000010101111101
3201100210021012102011212
42330220033220111331
511304244343231312
6233013414054205
720430045052631
oct2745017502575
9640707172155
10202538648957
1178994872797
123330594a365
131613a261218
149b35312dc1
155406286822
hex2f283e857d

202538648957 has 2 divisors, whose sum is σ = 202538648958. Its totient is φ = 202538648956.

The previous prime is 202538648909. The next prime is 202538648959. The reversal of 202538648957 is 759846835202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188673821956 + 13864827001 = 434366^2 + 117749^2 .

It is a cyclic number.

It is not a de Polignac number, because 202538648957 - 234 = 185358779773 is a prime.

Together with 202538648959, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202538648896 and 202538648905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202538648959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101269324478 + 101269324479.

It is an arithmetic number, because the mean of its divisors is an integer number (101269324479).

Almost surely, 2202538648957 is an apocalyptic number.

It is an amenable number.

202538648957 is a deficient number, since it is larger than the sum of its proper divisors (1).

202538648957 is an equidigital number, since it uses as much as digits as its factorization.

202538648957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29030400, while the sum is 59.

The spelling of 202538648957 in words is "two hundred two billion, five hundred thirty-eight million, six hundred forty-eight thousand, nine hundred fifty-seven".