Search a number
-
+
382527376157 is a prime number
BaseRepresentation
bin1011001000100000110…
…10001000101100011101
31100120100222202010001102
411210100122020230131
522231404002014112
6451421453122445
736431246022503
oct5442032105435
91316328663042
10382527376157
11138257805503
1262177789425
132a0c2759774
141472b816673
159e3c9b4bc2
hex5910688b1d

382527376157 has 2 divisors, whose sum is σ = 382527376158. Its totient is φ = 382527376156.

The previous prime is 382527376129. The next prime is 382527376159. The reversal of 382527376157 is 751673725283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276098753401 + 106428622756 = 525451^2 + 326234^2 .

It is a cyclic number.

It is not a de Polignac number, because 382527376157 - 212 = 382527372061 is a prime.

Together with 382527376159, 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 (382527376159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191263688078 + 191263688079.

It is an arithmetic number, because the mean of its divisors is an integer number (191263688079).

Almost surely, 2382527376157 is an apocalyptic number.

It is an amenable number.

382527376157 is a deficient number, since it is larger than the sum of its proper divisors (1).

382527376157 is an equidigital number, since it uses as much as digits as its factorization.

382527376157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14817600, while the sum is 56.

The spelling of 382527376157 in words is "three hundred eighty-two billion, five hundred twenty-seven million, three hundred seventy-six thousand, one hundred fifty-seven".