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82235001609 = 3217415248261
BaseRepresentation
bin100110010010110010…
…1101000101100001001
321212021002122220211100
41030211211220230021
52321404130022414
6101440033252013
75640600660165
oct1144545505411
9255232586740
1082235001609
113196a572952
1213b30404009
1379a719cb87
143da1927ca5
152214801609
hex1325968b09

82235001609 has 12 divisors (see below), whose sum is σ = 118852141252. Its totient is φ = 54791834400.

The previous prime is 82235001577. The next prime is 82235001613. The reversal of 82235001609 is 90610053228.

It can be written as a sum of positive squares in 2 ways, for example, as 27225990009 + 55009011600 = 165003^2 + 234540^2 .

It is not a de Polignac number, because 82235001609 - 25 = 82235001577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82235001649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2608462 + ... + 2639799.

Almost surely, 282235001609 is an apocalyptic number.

It is an amenable number.

82235001609 is a deficient number, since it is larger than the sum of its proper divisors (36617139643).

82235001609 is a wasteful number, since it uses less digits than its factorization.

82235001609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250008 (or 5250005 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 82235001609 in words is "eighty-two billion, two hundred thirty-five million, one thousand, six hundred nine".

Divisors: 1 3 9 1741 5223 15669 5248261 15744783 47234349 9137222401 27411667203 82235001609