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34605012065 = 5132172408981
BaseRepresentation
bin100000001110100111…
…101001010001100001
310022022200102202100112
4200032213221101201
51031332340341230
623521453301105
72333354515001
oct401647512141
9108280382315
1034605012065
1113748699828
126859194795
133356448800
141963c8c001
15d7805bd95
hex80e9e9461

34605012065 has 24 divisors (see below), whose sum is σ = 47611120248. Its totient is φ = 24051256320.

The previous prime is 34605012061. The next prime is 34605012083. The reversal of 34605012065 is 56021050643.

It can be written as a sum of positive squares in 12 ways, for example, as 9369465616 + 25235546449 = 96796^2 + 158857^2 .

It is not a de Polignac number, because 34605012065 - 22 = 34605012061 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34605012061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190126 + ... + 1218855.

It is an arithmetic number, because the mean of its divisors is an integer number (1983796677).

Almost surely, 234605012065 is an apocalyptic number.

It is an amenable number.

34605012065 is a deficient number, since it is larger than the sum of its proper divisors (13006108183).

34605012065 is a wasteful number, since it uses less digits than its factorization.

34605012065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409029 (or 2409016 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 34605012065 in words is "thirty-four billion, six hundred five million, twelve thousand, sixty-five".

Divisors: 1 5 13 17 65 85 169 221 845 1105 2873 14365 2408981 12044905 31316753 40952677 156583765 204763385 407117789 532384801 2035588945 2661924005 6921002413 34605012065