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825438714016 = 25729991228741
BaseRepresentation
bin11000000001011111111…
…10110011100010100000
32220220121020120022021211
430000233332303202200
5102010444302322031
61431111252155504
7113431066206010
oct14005776634240
92826536508254
10825438714016
112990806a9094
12113b85908b94
135cab935a887
142bd46aadc40
1516711773bb1
hexc02ffb38a0

825438714016 has 48 divisors (see below), whose sum is σ = 1857857904000. Its totient is φ = 353641201920.

The previous prime is 825438714013. The next prime is 825438714059. The reversal of 825438714016 is 610417834528.

It is not an unprimeable number, because it can be changed into a prime (825438714011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57406 + ... + 1286146.

It is an arithmetic number, because the mean of its divisors is an integer number (38705373000).

Almost surely, 2825438714016 is an apocalyptic number.

It is an amenable number.

825438714016 is an abundant number, since it is smaller than the sum of its proper divisors (1032419189984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825438714016 is a wasteful number, since it uses less digits than its factorization.

825438714016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231757 (or 1231749 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 825438714016 in words is "eight hundred twenty-five billion, four hundred thirty-eight million, seven hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2999 5998 11996 20993 23992 41986 47984 83972 95968 167944 335888 671776 1228741 2457482 4914964 8601187 9829928 17202374 19659856 34404748 39319712 68809496 137618992 275237984 3684994259 7369988518 14739977036 25794959813 29479954072 51589919626 58959908144 103179839252 117919816288 206359678504 412719357008 825438714016