Search a number
-
+
378815252173 is a prime number
BaseRepresentation
bin1011000001100110010…
…01100000011011001101
31100012210021201200020221
411200303021200123031
522201303201032143
6450005245311341
736240252341551
oct5406311403315
91305707650227
10378815252173
11136722374846
1261500565551
132995067c5b7
14144987db861
159cc1b562ed
hex58332606cd

378815252173 has 2 divisors, whose sum is σ = 378815252174. Its totient is φ = 378815252172.

The previous prime is 378815252149. The next prime is 378815252191. The reversal of 378815252173 is 371252518873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372799388329 + 6015863844 = 610573^2 + 77562^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-378815252173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 378815252173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (378815252773) 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, 189407626086 + 189407626087.

It is an arithmetic number, because the mean of its divisors is an integer number (189407626087).

Almost surely, 2378815252173 is an apocalyptic number.

It is an amenable number.

378815252173 is a deficient number, since it is larger than the sum of its proper divisors (1).

378815252173 is an equidigital number, since it uses as much as digits as its factorization.

378815252173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2822400, while the sum is 52.

The spelling of 378815252173 in words is "three hundred seventy-eight billion, eight hundred fifteen million, two hundred fifty-two thousand, one hundred seventy-three".