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1032543245344 = 25133185793427
BaseRepresentation
bin11110000011010000101…
…11111001010000100000
310122201011201021120121011
433001220113321100200
5113404122032322334
62110202133110304
7134412245526232
oct17015027712040
93581151246534
101032543245344
1136899881a886
12148144788394
13764a3521b30
1437d9255c252
151bcd37ae564
hexf0685f9420

1032543245344 has 96 divisors (see below), whose sum is σ = 2262470386176. Its totient is φ = 460642498560.

The previous prime is 1032543245341. The next prime is 1032543245353. The reversal of 1032543245344 is 4435423452301.

It is a super-2 number, since 2×10325432453442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032543245297 and 1032543245306.

It is not an unprimeable number, because it can be changed into a prime (1032543245341) 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, 11005159 + ... + 11098585.

It is an arithmetic number, because the mean of its divisors is an integer number (23567399856).

Almost surely, 21032543245344 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 1032543245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131235193088).

1032543245344 is an abundant number, since it is smaller than the sum of its proper divisors (1229927140832).

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

1032543245344 is a wasteful number, since it uses less digits than its factorization.

1032543245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94338 (or 94330 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 1032543245344 its reverse (4435423452301), we get a palindrome (5467966697645).

The spelling of 1032543245344 in words is "one trillion, thirty-two billion, five hundred forty-three million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 857 992 1612 1714 3224 3428 6448 6856 11141 12896 13712 22282 26567 27424 44564 53134 89128 93427 106268 178256 186854 212536 345371 356512 373708 425072 690742 747416 850144 1214551 1381484 1494832 2429102 2762968 2896237 2989664 4858204 5525936 5792474 9716408 11051872 11584948 19432816 23169896 37651081 38865632 46339792 75302162 80066939 92679584 150604324 160133878 301208648 320267756 602417296 640535512 1040870207 1204834592 1281071024 2081740414 2482075109 2562142048 4163480828 4964150218 8326961656 9928300436 16653923312 19856600872 32266976417 33307846624 39713201744 64533952834 79426403488 129067905668 258135811336 516271622672 1032543245344