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85434470825 = 52111261324631
BaseRepresentation
bin100111110010001001…
…0101001000110101001
322011112002000210111012
41033210102221012221
52344432211031300
6103125325113305
76113101006604
oct1174422510651
9264462023435
1085434470825
1133261593490
12146839b8835
138096cb3c22
1441c681533b
152350647435
hex13e44a91a9

85434470825 has 24 divisors (see below), whose sum is σ = 115583393856. Its totient is φ = 62126712000.

The previous prime is 85434470813. The next prime is 85434470857. The reversal of 85434470825 is 52807443458.

It is a de Polignac number, because none of the positive numbers 2k-85434470825 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 3456260 + ... + 3480890.

It is an arithmetic number, because the mean of its divisors is an integer number (4815974744).

Almost surely, 285434470825 is an apocalyptic number.

It is an amenable number.

85434470825 is a deficient number, since it is larger than the sum of its proper divisors (30148923031).

85434470825 is a wasteful number, since it uses less digits than its factorization.

85434470825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37265 (or 37260 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 50.

The spelling of 85434470825 in words is "eighty-five billion, four hundred thirty-four million, four hundred seventy thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 275 12613 24631 63065 123155 138743 270941 315325 615775 693715 1354705 3468575 6773525 310670803 1553354015 3417378833 7766770075 17086894165 85434470825