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146909618993 is a prime number
BaseRepresentation
bin1000100011010001111…
…1101110001100110001
3112001012101100220002202
42020310133232030301
54401332330301433
6151253410552545
713420362105044
oct2106437561461
9461171326082
10146909618993
1157338717165
122457b898755
1310b13241747
14717917cc5b
153c4c635ee8
hex22347ee331

146909618993 has 2 divisors, whose sum is σ = 146909618994. Its totient is φ = 146909618992.

The previous prime is 146909618969. The next prime is 146909619001. The reversal of 146909618993 is 399816909641.

It is a happy number.

146909618993 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., 105900128929 + 41009490064 = 325423^2 + 202508^2 .

It is an emirp because it is prime and its reverse (399816909641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 146909618993 - 26 = 146909618929 is a prime.

It is not a weakly prime, because it can be changed into another prime (146909618903) 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, 73454809496 + 73454809497.

It is an arithmetic number, because the mean of its divisors is an integer number (73454809497).

Almost surely, 2146909618993 is an apocalyptic number.

It is an amenable number.

146909618993 is a deficient number, since it is larger than the sum of its proper divisors (1).

146909618993 is an equidigital number, since it uses as much as digits as its factorization.

146909618993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22674816, while the sum is 65.

The spelling of 146909618993 in words is "one hundred forty-six billion, nine hundred nine million, six hundred eighteen thousand, nine hundred ninety-three".