Search a number
-
+
57957291646469 is a prime number
BaseRepresentation
bin11010010110110001110111…
…10001111101111000000101
321121012122220022020111220122
431023120323301331320011
530044033013130141334
6323133113501111325
715131163500422205
oct1513307361757005
9247178808214818
1057957291646469
1117515605211186
126600617858545
132645470114b17
14104520db10405
156a790745832e
hex34b63bc7de05

57957291646469 has 2 divisors, whose sum is σ = 57957291646470. Its totient is φ = 57957291646468.

The previous prime is 57957291646459. The next prime is 57957291646489. The reversal of 57957291646469 is 96464619275975.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39014889516100 + 18942402130369 = 6246190^2 + 4352287^2 .

It is a cyclic number.

It is not a de Polignac number, because 57957291646469 - 212 = 57957291642373 is a prime.

It is a super-2 number, since 2×579572916464692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57957291646393 and 57957291646402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57957291646409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28978645823234 + 28978645823235.

It is an arithmetic number, because the mean of its divisors is an integer number (28978645823235).

Almost surely, 257957291646469 is an apocalyptic number.

It is an amenable number.

57957291646469 is a deficient number, since it is larger than the sum of its proper divisors (1).

57957291646469 is an equidigital number, since it uses as much as digits as its factorization.

57957291646469 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6172588800, while the sum is 80.

The spelling of 57957291646469 in words is "fifty-seven trillion, nine hundred fifty-seven billion, two hundred ninety-one million, six hundred forty-six thousand, four hundred sixty-nine".