Search a number
-
+
39789342028801 is a prime number
BaseRepresentation
bin10010000110000001011011…
…00110001111010000000001
312012212211020122210021220001
421003000231212033100001
520203402033024410201
6220342545452520001
711244453662611261
oct1103005546172001
9165784218707801
1039789342028801
11117506242a6412
124567536180001
131928171175b71
149b7b58b1b7a1
1549002ac6a301
hex24302d98f401

39789342028801 has 2 divisors, whose sum is σ = 39789342028802. Its totient is φ = 39789342028800.

The previous prime is 39789342028757. The next prime is 39789342028859. The reversal of 39789342028801 is 10882024398793.

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., 33037664665600 + 6751677363201 = 5747840^2 + 2598399^2 .

It is a cyclic number.

It is not a de Polignac number, because 39789342028801 - 243 = 30993249006593 is a prime.

It is not a weakly prime, because it can be changed into another prime (39789342028861) 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, 19894671014400 + 19894671014401.

It is an arithmetic number, because the mean of its divisors is an integer number (19894671014401).

Almost surely, 239789342028801 is an apocalyptic number.

It is an amenable number.

39789342028801 is a deficient number, since it is larger than the sum of its proper divisors (1).

39789342028801 is an equidigital number, since it uses as much as digits as its factorization.

39789342028801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 39789342028801 in words is "thirty-nine trillion, seven hundred eighty-nine billion, three hundred forty-two million, twenty-eight thousand, eight hundred one".