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378856152137 is a prime number
BaseRepresentation
bin1011000001101011001…
…01100001110001001001
31100012220010200121110102
411200311211201301021
522201344133332022
6450013310055145
736241260105461
oct5406545416111
91305803617412
10378856152137
1113674346a571
12615121aa4b5
1329958c9c968
14144a0006ba1
159cc5534a92
hex5835961c49

378856152137 has 2 divisors, whose sum is σ = 378856152138. Its totient is φ = 378856152136.

The previous prime is 378856152121. The next prime is 378856152151. The reversal of 378856152137 is 731251658873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259064712256 + 119791439881 = 508984^2 + 346109^2 .

It is a cyclic number.

It is not a de Polignac number, because 378856152137 - 24 = 378856152121 is a prime.

It is not a weakly prime, because it can be changed into another prime (378856152167) 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, 189428076068 + 189428076069.

It is an arithmetic number, because the mean of its divisors is an integer number (189428076069).

Almost surely, 2378856152137 is an apocalyptic number.

It is an amenable number.

378856152137 is a deficient number, since it is larger than the sum of its proper divisors (1).

378856152137 is an equidigital number, since it uses as much as digits as its factorization.

378856152137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8467200, while the sum is 56.

The spelling of 378856152137 in words is "three hundred seventy-eight billion, eight hundred fifty-six million, one hundred fifty-two thousand, one hundred thirty-seven".