Search a number
-
+
380140637593 is a prime number
BaseRepresentation
bin1011000100000100010…
…01011100110110011001
31100100012122200020020211
411202002021130312121
522212012000400333
6450344553051121
736315145051153
oct5420211346631
91310178606224
10380140637593
111372425304a2
12618103b6aa1
1329b02135022
1414582849ad3
159d4d1acecd
hex588225cd99

380140637593 has 2 divisors, whose sum is σ = 380140637594. Its totient is φ = 380140637592.

The previous prime is 380140637557. The next prime is 380140637663. The reversal of 380140637593 is 395736041083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263366028864 + 116774608729 = 513192^2 + 341723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-380140637593 is a prime.

It is a super-2 number, since 2×3801406375932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (380140631593) 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, 190070318796 + 190070318797.

It is an arithmetic number, because the mean of its divisors is an integer number (190070318797).

Almost surely, 2380140637593 is an apocalyptic number.

It is an amenable number.

380140637593 is a deficient number, since it is larger than the sum of its proper divisors (1).

380140637593 is an equidigital number, since it uses as much as digits as its factorization.

380140637593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 380140637593 in words is "three hundred eighty billion, one hundred forty million, six hundred thirty-seven thousand, five hundred ninety-three".