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34076778641 is a prime number
BaseRepresentation
bin11111101111001000…
…100110000010010001
310020221212110201022122
4133233020212002101
51024242123404031
623353223344025
72314311560603
oct375710460221
9106855421278
1034076778641
11134a74a9184
1267302b2015
1332a0b89859
141913a67173
15d469b847b
hex7ef226091

34076778641 has 2 divisors, whose sum is σ = 34076778642. Its totient is φ = 34076778640.

The previous prime is 34076778623. The next prime is 34076778661. The reversal of 34076778641 is 14687767043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22348755025 + 11728023616 = 149495^2 + 108296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34076778641 is a prime.

It is a super-2 number, since 2×340767786412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34076778601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17038389320 + 17038389321.

It is an arithmetic number, because the mean of its divisors is an integer number (17038389321).

Almost surely, 234076778641 is an apocalyptic number.

It is an amenable number.

34076778641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34076778641 is an equidigital number, since it uses as much as digits as its factorization.

34076778641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 34076778641 in words is "thirty-four billion, seventy-six million, seven hundred seventy-eight thousand, six hundred forty-one".