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34350926641 is a prime number
BaseRepresentation
bin11111111111011110…
…011000101100110001
310021122222022212200021
4133333132120230301
51030322314123031
623440335323441
72324151026113
oct377736305461
9107588285607
1034350926641
1113628225679
1267a8080581
1333159056c5
14193c22b3b3
15d60abc511
hex7ff798b31

34350926641 has 2 divisors, whose sum is σ = 34350926642. Its totient is φ = 34350926640.

The previous prime is 34350926609. The next prime is 34350926653. The reversal of 34350926641 is 14662905343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30020760225 + 4330166416 = 173265^2 + 65804^2 .

It is a cyclic number.

It is not a de Polignac number, because 34350926641 - 25 = 34350926609 is a prime.

It is a super-2 number, since 2×343509266412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34350926681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17175463320 + 17175463321.

It is an arithmetic number, because the mean of its divisors is an integer number (17175463321).

Almost surely, 234350926641 is an apocalyptic number.

It is an amenable number.

34350926641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34350926641 is an equidigital number, since it uses as much as digits as its factorization.

34350926641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 34350926641 in words is "thirty-four billion, three hundred fifty million, nine hundred twenty-six thousand, six hundred forty-one".