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20385537000193 is a prime number
BaseRepresentation
bin1001010001010011000001…
…01100010000001100000001
32200011211122010100100202001
410220221200230100030001
510132444034433001233
6111204553022024001
74202543416322461
oct450514054201401
980154563310661
1020385537000193
11654a504206632
122352a2b118001
13b4b46a414411
14506945663ba1
1525541bb9127d
hex128a60b10301

20385537000193 has 2 divisors, whose sum is σ = 20385537000194. Its totient is φ = 20385537000192.

The previous prime is 20385537000163. The next prime is 20385537000329. The reversal of 20385537000193 is 39100073558302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15571602611569 + 4813934388624 = 3946087^2 + 2194068^2 .

It is a cyclic number.

It is not a de Polignac number, because 20385537000193 - 25 = 20385537000161 is a prime.

It is not a weakly prime, because it can be changed into another prime (20385537000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10192768500096 + 10192768500097.

It is an arithmetic number, because the mean of its divisors is an integer number (10192768500097).

Almost surely, 220385537000193 is an apocalyptic number.

It is an amenable number.

20385537000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20385537000193 is an equidigital number, since it uses as much as digits as its factorization.

20385537000193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 20385537000193 in words is "twenty trillion, three hundred eighty-five billion, five hundred thirty-seven million, one hundred ninety-three", and thus it is an aban number.