Search a number
-
+
83387420413229 is a prime number
BaseRepresentation
bin10010111101011100100101…
…100100101000110100101101
3101221020202111200222110010202
4102331130211210220310231
541412204414111210404
6453203352504043245
723364354004422362
oct2275344544506455
9357222450873122
1083387420413229
112462a451a10509
12942905a463525
13376b527a6958a
141683d89080469
159991714bb21e
hex4bd725928d2d

83387420413229 has 2 divisors, whose sum is σ = 83387420413230. Its totient is φ = 83387420413228.

The previous prime is 83387420413163. The next prime is 83387420413247. The reversal of 83387420413229 is 92231402478338.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71655767890729 + 11731652522500 = 8464973^2 + 3425150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83387420413229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83387420416229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41693710206614 + 41693710206615.

It is an arithmetic number, because the mean of its divisors is an integer number (41693710206615).

Almost surely, 283387420413229 is an apocalyptic number.

It is an amenable number.

83387420413229 is a deficient number, since it is larger than the sum of its proper divisors (1).

83387420413229 is an equidigital number, since it uses as much as digits as its factorization.

83387420413229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13934592, while the sum is 56.

The spelling of 83387420413229 in words is "eighty-three trillion, three hundred eighty-seven billion, four hundred twenty million, four hundred thirteen thousand, two hundred twenty-nine".