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13410533442304 = 28377759182473
BaseRepresentation
bin1100001100100110001000…
…0101010000001100000000
31202111000221010121012200001
43003021202011100030000
53224204233030123204
644304414121005344
72552610343314625
oct303114205201400
952430833535601
1013410533442304
114300414575209
121607074623854
137637b9677a4b
1434510512a34c
15183c8abb04a4
hexc3262150300

13410533442304 has 72 divisors (see below), whose sum is σ = 27495853824320. Its totient is φ = 6523166711808.

The previous prime is 13410533442301. The next prime is 13410533442359. The reversal of 13410533442304 is 40324433501431.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (13410533442301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73402012 + ... + 73584484.

Almost surely, 213410533442304 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 13410533442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747926912160).

13410533442304 is an abundant number, since it is smaller than the sum of its proper divisors (14085320382016).

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

13410533442304 is an equidigital number, since it uses as much as digits as its factorization.

13410533442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190285 (or 190271 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 13410533442304 its reverse (40324433501431), we get a palindrome (53734966943735).

The spelling of 13410533442304 in words is "thirteen trillion, four hundred ten billion, five hundred thirty-three million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 7759 9472 15518 31036 62072 124144 182473 248288 287083 364946 496576 574166 729892 993152 1148332 1459784 1986304 2296664 2919568 4593328 5839136 6751501 9186656 11678272 13503002 18373312 23356544 27006004 36746624 46713088 54012008 73493248 108024016 216048032 432096064 864192128 1415808007 1728384256 2831616014 5663232028 11326464056 22652928112 45305856224 52384896259 90611712448 104769792518 181223424896 209539585036 362446849792 419079170072 838158340144 1676316680288 3352633360576 6705266721152 13410533442304