Search a number
-
+
82813906733 is a prime number
BaseRepresentation
bin100110100100000010…
…1111110111100101101
321220202102222100100212
41031020011332330231
52324100330003413
6102013313232205
75661130410215
oct1151005767455
9256672870325
1082813906733
1132137322938
1214072262665
137a6a0c0b9c
14401877d245
15224a553ca8
hex134817ef2d

82813906733 has 2 divisors, whose sum is σ = 82813906734. Its totient is φ = 82813906732.

The previous prime is 82813906699. The next prime is 82813906783. The reversal of 82813906733 is 33760931828.

It is a happy number.

It is an a-pointer prime, because the next prime (82813906783) can be obtained adding 82813906733 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51400598089 + 31413308644 = 226717^2 + 177238^2 .

It is a cyclic number.

It is not a de Polignac number, because 82813906733 - 222 = 82809712429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82813906783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41406953366 + 41406953367.

It is an arithmetic number, because the mean of its divisors is an integer number (41406953367).

Almost surely, 282813906733 is an apocalyptic number.

It is an amenable number.

82813906733 is a deficient number, since it is larger than the sum of its proper divisors (1).

82813906733 is an equidigital number, since it uses as much as digits as its factorization.

82813906733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 82813906733 in words is "eighty-two billion, eight hundred thirteen million, nine hundred six thousand, seven hundred thirty-three".