Search a number
-
+
147446015657 is a prime number
BaseRepresentation
bin1000100101010001110…
…1111010011010101001
3112002120202200122222212
42021110131322122221
54403432140000112
6151422531454505
713436564311523
oct2112435723251
9462522618885
10147446015657
1157593482996
12246ab457435
1310b9a3cb215
1471ca4caa13
153c7e78d522
hex225477a6a9

147446015657 has 2 divisors, whose sum is σ = 147446015658. Its totient is φ = 147446015656.

The previous prime is 147446015627. The next prime is 147446015669. The reversal of 147446015657 is 756510644741.

147446015657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117989502016 + 29456513641 = 343496^2 + 171629^2 .

It is a cyclic number.

It is not a de Polignac number, because 147446015657 - 214 = 147445999273 is a prime.

It is not a weakly prime, because it can be changed into another prime (147446015627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73723007828 + 73723007829.

It is an arithmetic number, because the mean of its divisors is an integer number (73723007829).

Almost surely, 2147446015657 is an apocalyptic number.

It is an amenable number.

147446015657 is a deficient number, since it is larger than the sum of its proper divisors (1).

147446015657 is an equidigital number, since it uses as much as digits as its factorization.

147446015657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 147446015657 in words is "one hundred forty-seven billion, four hundred forty-six million, fifteen thousand, six hundred fifty-seven".