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146585419153 is a prime number
BaseRepresentation
bin1000100010000100101…
…0111111110110010001
3112000100210022211112021
42020201022333312101
54400201331403103
6151201310131441
713406344335025
oct2104112776621
9460323284467
10146585419153
1157191714008
12244ab1b0b81
1310a9101ca14
1471480aa385
153c2de46bbd
hex22212bfd91

146585419153 has 2 divisors, whose sum is σ = 146585419154. Its totient is φ = 146585419152.

The previous prime is 146585419147. The next prime is 146585419237. The reversal of 146585419153 is 351914585641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145472062464 + 1113356689 = 381408^2 + 33367^2 .

It is an emirp because it is prime and its reverse (351914585641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146585419153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146585419153.

It is not a weakly prime, because it can be changed into another prime (146585419133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73292709576 + 73292709577.

It is an arithmetic number, because the mean of its divisors is an integer number (73292709577).

Almost surely, 2146585419153 is an apocalyptic number.

It is an amenable number.

146585419153 is a deficient number, since it is larger than the sum of its proper divisors (1).

146585419153 is an equidigital number, since it uses as much as digits as its factorization.

146585419153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592000, while the sum is 52.

The spelling of 146585419153 in words is "one hundred forty-six billion, five hundred eighty-five million, four hundred nineteen thousand, one hundred fifty-three".