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34777853081 is a prime number
BaseRepresentation
bin100000011000111010…
…111110110010011001
310022202201122222122122
4200120322332302121
51032211112244311
623550550031025
72340553605446
oct403072766231
9108681588578
1034777853081
1113827211844
1268a7048475
1333831b3cba
14197cc009cd
15d882ee0db
hex818ebec99

34777853081 has 2 divisors, whose sum is σ = 34777853082. Its totient is φ = 34777853080.

The previous prime is 34777853057. The next prime is 34777853113. The reversal of 34777853081 is 18035877743.

34777853081 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., 25092144025 + 9685709056 = 158405^2 + 98416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34777853081 is a prime.

It is a super-2 number, since 2×347778530812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34777853021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17388926540 + 17388926541.

It is an arithmetic number, because the mean of its divisors is an integer number (17388926541).

Almost surely, 234777853081 is an apocalyptic number.

It is an amenable number.

34777853081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34777853081 is an equidigital number, since it uses as much as digits as its factorization.

34777853081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 34777853081 in words is "thirty-four billion, seven hundred seventy-seven million, eight hundred fifty-three thousand, eighty-one".