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16338736618129 is a prime number
BaseRepresentation
bin1110110111000010100010…
…0101111001101010010001
32010211222010122110220212001
43231300220211321222101
54120143213033240004
654425524553234001
73304302060532642
oct355605045715221
963758118426761
1016338736618129
11522a245964262
1219ba681a02901
13916975712923
14406b2891d6c9
151d501c1b61a4
hexedc28979a91

16338736618129 has 2 divisors, whose sum is σ = 16338736618130. Its totient is φ = 16338736618128.

The previous prime is 16338736618091. The next prime is 16338736618229. The reversal of 16338736618129 is 92181663783361.

16338736618129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13730989636225 + 2607746981904 = 3705535^2 + 1614852^2 .

It is a cyclic number.

It is not a de Polignac number, because 16338736618129 - 223 = 16338728229521 is a prime.

It is not a weakly prime, because it can be changed into another prime (16338736618229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8169368309064 + 8169368309065.

It is an arithmetic number, because the mean of its divisors is an integer number (8169368309065).

Almost surely, 216338736618129 is an apocalyptic number.

It is an amenable number.

16338736618129 is a deficient number, since it is larger than the sum of its proper divisors (1).

16338736618129 is an equidigital number, since it uses as much as digits as its factorization.

16338736618129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47029248, while the sum is 64.

The spelling of 16338736618129 in words is "sixteen trillion, three hundred thirty-eight billion, seven hundred thirty-six million, six hundred eighteen thousand, one hundred twenty-nine".