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2352859094032 = 2429109173268909
BaseRepresentation
bin100010001111010001010…
…101001001110000010000
322022221010210111002000121
4202033101111021300100
5302022123412002112
65000515532000024
7331663020213316
oct42172125116020
98287123432017
102352859094032
1182792968a867
1231bbbb900014
13140b485806c5
1481c43d2a0b6
154130b040407
hex223d1549c10

2352859094032 has 80 divisors (see below), whose sum is σ = 4786651782000. Its totient is φ = 1118932641792.

The previous prime is 2352859093987. The next prime is 2352859094071. The reversal of 2352859094032 is 2304909582532.

It can be written as a sum of positive squares in 8 ways, for example, as 144865296 + 2352714228736 = 12036^2 + 1533856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8615194 + ... + 8884102.

It is an arithmetic number, because the mean of its divisors is an integer number (59833147275).

Almost surely, 22352859094032 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 2352859094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393325891000).

2352859094032 is an abundant number, since it is smaller than the sum of its proper divisors (2433792687968).

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

2352859094032 is a wasteful number, since it uses less digits than its factorization.

2352859094032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269228 (or 269222 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 2352859094032 in words is "two trillion, three hundred fifty-two billion, eight hundred fifty-nine million, ninety-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 109 116 173 218 232 346 436 464 692 872 1384 1744 2768 3161 5017 6322 10034 12644 18857 20068 25288 37714 40136 50576 75428 80272 150856 268909 301712 537818 546853 1075636 1093706 2151272 2187412 4302544 4374824 7798361 8749648 15596722 29311081 31193444 46521257 58622162 62386888 93042514 117244324 124773776 186085028 234488648 372170056 468977296 744340112 850021349 1349116453 1700042698 2698232906 3400085396 5070817013 5396465812 6800170792 10141634026 10792931624 13600341584 20283268052 21585863248 40566536104 81133072208 147053693377 294107386754 588214773508 1176429547016 2352859094032