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34585057803697 is a prime number
BaseRepresentation
bin1111101110100011101100…
…00101011011110110110001
311112110022002010212021222121
413313101312011123312301
514013120144244204242
6201320053424234241
710166454654566662
oct767216605336661
9145408063767877
1034585057803697
1110024493554a55
123a66995a6b981
13163b4843074bb
14877cd62b5369
153ee983e09667
hex1f747615bdb1

34585057803697 has 2 divisors, whose sum is σ = 34585057803698. Its totient is φ = 34585057803696.

The previous prime is 34585057803677. The next prime is 34585057803727. The reversal of 34585057803697 is 79630875058543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26776112590096 + 7808945213601 = 5174564^2 + 2794449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34585057803697 is a prime.

It is a super-2 number, since 2×345850578036972 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34585057803617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17292528901848 + 17292528901849.

It is an arithmetic number, because the mean of its divisors is an integer number (17292528901849).

Almost surely, 234585057803697 is an apocalyptic number.

It is an amenable number.

34585057803697 is a deficient number, since it is larger than the sum of its proper divisors (1).

34585057803697 is an equidigital number, since it uses as much as digits as its factorization.

34585057803697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048000, while the sum is 70.

The spelling of 34585057803697 in words is "thirty-four trillion, five hundred eighty-five billion, fifty-seven million, eight hundred three thousand, six hundred ninety-seven".