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2325289046328 = 233297867738371
BaseRepresentation
bin100001110101100110000…
…001110001000100111000
322020021222101120112112200
4201311212001301010320
5301044142443440303
64540120102110200
7326665554530433
oct41654601610470
98207871515480
102325289046328
11817171056976
123167a671b360
1313b373760601
148078a4da81a
15407459073a3
hex21d66071138

2325289046328 has 96 divisors (see below), whose sum is σ = 6363481247760. Its totient is φ = 766997268480.

The previous prime is 2325289046293. The next prime is 2325289046329. The reversal of 2325289046328 is 8236409825232.

It is a happy number.

2325289046328 is a `hidden beast` number, since 2 + 3 + 2 + 528 + 90 + 4 + 6 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325289046329) 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 23 ways as a sum of consecutive naturals, for example, 60580983 + ... + 60619353.

Almost surely, 22325289046328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325289046328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181740623880).

2325289046328 is an abundant number, since it is smaller than the sum of its proper divisors (4038192201432).

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

2325289046328 is a wasteful number, since it uses less digits than its factorization.

2325289046328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47157 (or 47150 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

It can be divided in two parts, 232528904 and 6328, that added together give a palindrome (232535232).

The spelling of 2325289046328 in words is "two trillion, three hundred twenty-five billion, two hundred eighty-nine million, forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 8677 17354 26031 34708 38371 52062 69416 76742 78093 104124 115113 153484 156186 208248 230226 306968 312372 345339 460452 624744 690678 841669 920904 1381356 1683338 2525007 2762712 3366676 3721987 5050014 6733352 7443974 7575021 10100028 11165961 14887948 15150042 20200056 22331922 29775896 30300084 33497883 44663844 60600168 66995766 89327688 133991532 267983064 332945167 665890334 998835501 1331780668 1997671002 2663561336 2996506503 3995342004 5993013006 7990684008 11986026012 23972052024 32295681199 64591362398 96887043597 129182724796 193774087194 258365449592 290661130791 387548174388 581322261582 775096348776 1162644523164 2325289046328