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81143568 = 24321124657
BaseRepresentation
bin1001101011000…
…10011100010000
312122200112001100
410311202130100
5131233043233
612015104400
72003465112
oct465423420
9178615040
1081143568
1141892400
1223212100
1313a70a5c
14aac33b2
1571cc813
hex4d62710

81143568 has 90 divisors (see below), whose sum is σ = 249664142. Its totient is φ = 24583680.

The previous prime is 81143459. The next prime is 81143611. The reversal of 81143568 is 86534118.

81143568 is a `hidden beast` number, since 81 + 14 + 3 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 26501904 = 7392^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15096 + ... + 19752.

Almost surely, 281143568 is an apocalyptic number.

81143568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81143568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124832071).

81143568 is an abundant number, since it is smaller than the sum of its proper divisors (168520574).

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

81143568 is a wasteful number, since it uses less digits than its factorization.

81143568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4673 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 81143568 is about 9007.9724688744. The cubic root of 81143568 is about 432.9303509342.

The spelling of 81143568 in words is "eighty-one million, one hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 4657 5808 8712 9314 13971 17424 18628 27942 37256 41913 51227 55884 74512 83826 102454 111768 153681 167652 204908 223536 307362 335304 409816 461043 563497 614724 670608 819632 922086 1126994 1229448 1690491 1844172 2253988 2458896 3380982 3688344 4507976 5071473 6761964 7376688 9015952 10142946 13523928 20285892 27047856 40571784 81143568