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13568442381288 = 2332444142434269
BaseRepresentation
bin1100010101110010011000…
…1100000011001111101000
31210001010112002010110012200
43011130212030003033220
53234301132222200123
644505131213340200
72600200436204214
oct305344614031750
953033462113180
1013568442381288
114361386aa5273
1216317a3a97660
13775663636452
1434ca0503d944
15187e2dc9e143
hexc57263033e8

13568442381288 has 48 divisors (see below), whose sum is σ = 36756140331300. Its totient is φ = 4521795598080.

The previous prime is 13568442381287. The next prime is 13568442381311. The reversal of 13568442381288 is 88218324486531.

13568442381288 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 84 + 423 + 8 + 128 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12235290418404 + 1333151962884 = 3497898^2 + 1154622^2 .

It is not an unprimeable number, because it can be changed into a prime (13568442381287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20897383 + ... + 21536886.

Almost surely, 213568442381288 is an apocalyptic number.

13568442381288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13568442381288 is an abundant number, since it is smaller than the sum of its proper divisors (23187697950012).

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

13568442381288 is a wasteful number, since it uses less digits than its factorization.

13568442381288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42438722 (or 42438715 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 13568442381288 in words is "thirteen trillion, five hundred sixty-eight billion, four hundred forty-two million, three hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4441 8882 13323 17764 26646 35528 39969 53292 79938 106584 159876 319752 42434269 84868538 127302807 169737076 254605614 339474152 381908421 509211228 763816842 1018422456 1527633684 3055267368 188450588629 376901177258 565351765887 753802354516 1130703531774 1507604709032 1696055297661 2261407063548 3392110595322 4522814127096 6784221190644 13568442381288