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1629493616137 is a prime number
BaseRepresentation
bin10111101101100101011…
…000110101111000001001
312202210000012201102021111
4113231211120311320021
5203144200331204022
63244325023210321
7225504241130062
oct27554530657011
95683005642244
101629493616137
11579078735862
122239821469a1
13ba87840c3ca
1458c2179b569
152c5c0a33477
hex17b65635e09

1629493616137 has 2 divisors, whose sum is σ = 1629493616138. Its totient is φ = 1629493616136.

The previous prime is 1629493616083. The next prime is 1629493616171. The reversal of 1629493616137 is 7316163949261.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1566762903616 + 62730712521 = 1251704^2 + 250461^2 .

It is an emirp because it is prime and its reverse (7316163949261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1629493616137 - 235 = 1595133877769 is a prime.

It is not a weakly prime, because it can be changed into another prime (1629493616837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 814746808068 + 814746808069.

It is an arithmetic number, because the mean of its divisors is an integer number (814746808069).

Almost surely, 21629493616137 is an apocalyptic number.

It is an amenable number.

1629493616137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1629493616137 is an equidigital number, since it uses as much as digits as its factorization.

1629493616137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8817984, while the sum is 58.

The spelling of 1629493616137 in words is "one trillion, six hundred twenty-nine billion, four hundred ninety-three million, six hundred sixteen thousand, one hundred thirty-seven".