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389792540257 is a prime number
BaseRepresentation
bin1011010110000010111…
…00100010011001100001
31101021010022102200121021
411223001130202121201
522341243342242012
6455022422525441
740106264632111
oct5530134423141
91337108380537
10389792540257
111403457aa85a
1263664896881
132a9ac984333
1414c1a679041
15a21570b007
hex5ac1722661

389792540257 has 2 divisors, whose sum is σ = 389792540258. Its totient is φ = 389792540256.

The previous prime is 389792540237. The next prime is 389792540279. The reversal of 389792540257 is 752045297983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223397077201 + 166395463056 = 472649^2 + 407916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-389792540257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 389792540195 and 389792540204.

It is not a weakly prime, because it can be changed into another prime (389792540237) 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, 194896270128 + 194896270129.

It is an arithmetic number, because the mean of its divisors is an integer number (194896270129).

Almost surely, 2389792540257 is an apocalyptic number.

It is an amenable number.

389792540257 is a deficient number, since it is larger than the sum of its proper divisors (1).

389792540257 is an equidigital number, since it uses as much as digits as its factorization.

389792540257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 61.

It can be divided in two parts, 38979 and 2540257, that added together give a square (2579236 = 16062).

The spelling of 389792540257 in words is "three hundred eighty-nine billion, seven hundred ninety-two million, five hundred forty thousand, two hundred fifty-seven".