Search a number
-
+
107777608769 is a prime number
BaseRepresentation
bin110010001100000001…
…0111100110001000001
3101022012012120210201202
41210120002330301001
53231212031440034
6121302400110545
710533554362505
oct1443002746101
9338165523652
10107777608769
1141787717746
1218a7a605455
13a217c588cc
145305d98305
152c0be5647e
hex19180bcc41

107777608769 has 2 divisors, whose sum is σ = 107777608770. Its totient is φ = 107777608768.

The previous prime is 107777608759. The next prime is 107777608787. The reversal of 107777608769 is 967806777701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102749097025 + 5028511744 = 320545^2 + 70912^2 .

It is a cyclic number.

It is not a de Polignac number, because 107777608769 - 28 = 107777608513 is a prime.

It is a super-2 number, since 2×1077776087692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107777608759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53888804384 + 53888804385.

It is an arithmetic number, because the mean of its divisors is an integer number (53888804385).

Almost surely, 2107777608769 is an apocalyptic number.

It is an amenable number.

107777608769 is a deficient number, since it is larger than the sum of its proper divisors (1).

107777608769 is an equidigital number, since it uses as much as digits as its factorization.

107777608769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43563744, while the sum is 65.

The spelling of 107777608769 in words is "one hundred seven billion, seven hundred seventy-seven million, six hundred eight thousand, seven hundred sixty-nine".