Search a number
-
+
57862746817 is a prime number
BaseRepresentation
bin110101111000111000…
…110111001011000001
312112100112222002112221
4311320320313023001
51422000330344232
642325355251041
74115615142601
oct657070671301
9175315862487
1057862746817
11225a3015117
12b26a149a81
1355c1a27b35
142b2caaac01
151789ccc897
hexd78e372c1

57862746817 has 2 divisors, whose sum is σ = 57862746818. Its totient is φ = 57862746816.

The previous prime is 57862746797. The next prime is 57862746833. The reversal of 57862746817 is 71864726875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57534738496 + 328008321 = 239864^2 + 18111^2 .

It is a cyclic number.

It is not a de Polignac number, because 57862746817 - 219 = 57862222529 is a prime.

It is not a weakly prime, because it can be changed into another prime (57862746217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28931373408 + 28931373409.

It is an arithmetic number, because the mean of its divisors is an integer number (28931373409).

Almost surely, 257862746817 is an apocalyptic number.

It is an amenable number.

57862746817 is a deficient number, since it is larger than the sum of its proper divisors (1).

57862746817 is an equidigital number, since it uses as much as digits as its factorization.

57862746817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31610880, while the sum is 61.

The spelling of 57862746817 in words is "fifty-seven billion, eight hundred sixty-two million, seven hundred forty-six thousand, eight hundred seventeen".