Search a number
-
+
378828813031 is a prime number
BaseRepresentation
bin1011000001100111111…
…01001111001011100111
31100012211020020122020221
411200303331033023213
522201320134004111
6450010452105211
736240505531564
oct5406375171347
91305736218227
10378828813031
11136729a97269
1261505005207
1329953419b86
141449a52b86b
159cc2e34371
hex5833f4f2e7

378828813031 has 2 divisors, whose sum is σ = 378828813032. Its totient is φ = 378828813030.

The previous prime is 378828812987. The next prime is 378828813037. The reversal of 378828813031 is 130318828873.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 378828813031 - 237 = 241389859559 is a prime.

It is a super-2 number, since 2×3788288130312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378828813031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (378828813037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189414406515 + 189414406516.

It is an arithmetic number, because the mean of its divisors is an integer number (189414406516).

Almost surely, 2378828813031 is an apocalyptic number.

378828813031 is a deficient number, since it is larger than the sum of its proper divisors (1).

378828813031 is an equidigital number, since it uses as much as digits as its factorization.

378828813031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 378828813031 in words is "three hundred seventy-eight billion, eight hundred twenty-eight million, eight hundred thirteen thousand, thirty-one".