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32453521115240 = 235531011433105769
BaseRepresentation
bin1110110000100001011001…
…00110010000100001101000
311020220112012200112100010102
413120100230212100201220
513223204302401141430
6153004535231404532
76556455335643161
oct730205446204150
9136815180470112
1032453521115240
11a382508676285
123781862683748
13151547a701bc4
14802a8a226768
153b42cd223345
hex1d842c990868

32453521115240 has 128 divisors (see below), whose sum is σ = 75187924509600. Its totient is φ = 12601453363200.

The previous prime is 32453521115231. The next prime is 32453521115269. The reversal of 32453521115240 is 4251112535423.

32453521115240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 29507210658916 + 2946310456324 = 5432054^2 + 1716482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32453521115194 and 32453521115203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 306781076 + ... + 306886844.

Almost surely, 232453521115240 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 32453521115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37593962254800).

32453521115240 is an abundant number, since it is smaller than the sum of its proper divisors (42734403394360).

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

32453521115240 is a wasteful number, since it uses less digits than its factorization.

32453521115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107367 (or 107363 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 32453521115240 in words is "thirty-two trillion, four hundred fifty-three billion, five hundred twenty-one million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 1433 2020 2120 2866 4040 5353 5732 7165 10706 11464 14330 21412 26765 28660 42824 53530 57320 75949 105769 107060 144733 151898 211538 214120 289466 303796 379745 423076 528845 578932 607592 723665 759490 846152 1057690 1157864 1447330 1518980 2115380 2894660 3037960 4230760 5605757 5789320 7670849 10682669 11211514 15341698 21365338 22423028 28028785 30683396 38354245 42730676 44846056 53413345 56057570 61366792 76708490 85461352 106826690 112115140 151566977 153416980 213653380 224230280 303133954 306833960 427306760 566181457 606267908 757834885 1132362914 1212535816 1515669770 2264725828 2830907285 3031339540 4529451656 5661814570 6062679080 8033049781 11323629140 15308264677 16066099562 22647258280 30616529354 32132199124 40165248905 61233058708 64264398248 76541323385 80330497810 122466117416 153082646770 160660995620 306165293540 321321991240 612330587080 811338027881 1622676055762 3245352111524 4056690139405 6490704223048 8113380278810 16226760557620 32453521115240