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72823128847 = 73534005893
BaseRepresentation
bin100001111010010011…
…0001100001100001111
320221222011120020121021
41003310212030030033
52143120210110342
653242100215011
75155424245000
oct1036446141417
9227864506537
1072823128847
112897a837607
121214439a467
136b372b21b1
14374b93b1a7
151d633b8567
hex10f498c30f

72823128847 has 16 divisors (see below), whose sum is σ = 86527310400. Its totient is φ = 61242076896.

The previous prime is 72823128809. The next prime is 72823128853. The reversal of 72823128847 is 74882132827.

It is not a de Polignac number, because 72823128847 - 215 = 72823096079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72823128794 and 72823128803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823128887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1984768 + ... + 2021125.

It is an arithmetic number, because the mean of its divisors is an integer number (5407956900).

Almost surely, 272823128847 is an apocalyptic number.

72823128847 is a deficient number, since it is larger than the sum of its proper divisors (13704181553).

72823128847 is an equidigital number, since it uses as much as digits as its factorization.

72823128847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005967 (or 4005953 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 52.

The spelling of 72823128847 in words is "seventy-two billion, eight hundred twenty-three million, one hundred twenty-eight thousand, eight hundred forty-seven".

Divisors: 1 7 49 53 343 371 2597 18179 4005893 28041251 196288757 212312329 1374021299 1486186303 10403304121 72823128847