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81144063 = 32711139007
BaseRepresentation
bin1001101011000…
…10100011111111
312122200112201200
410311202203333
5131233102223
612015110543
72003466420
oct465424377
9178615650
1081144063
1141892810
1223212453
1313a71050
14aac3647
1571cca43
hex4d628ff

81144063 has 48 divisors (see below), whose sum is σ = 157387776. Its totient is φ = 38905920.

The previous prime is 81144061. The next prime is 81144083. The reversal of 81144063 is 36044118.

It is a Cunningham number, because it is equal to 90082-1.

It is not a de Polignac number, because 81144063 - 21 = 81144061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81144061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4506 + ... + 13512.

It is an arithmetic number, because the mean of its divisors is an integer number (3278912).

Almost surely, 281144063 is an apocalyptic number.

81144063 is a deficient number, since it is larger than the sum of its proper divisors (76243713).

81144063 is a wasteful number, since it uses less digits than its factorization.

81144063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81144063 is about 9007.9999444938. Note that the first 4 decimals coincide. The cubic root of 81144063 is about 432.9312312672.

The spelling of 81144063 in words is "eighty-one million, one hundred forty-four thousand, sixty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9007 9009 27021 63049 81063 99077 117091 189147 297231 351273 567441 693539 819637 891693 1053819 1288001 2080617 2458911 3864003 6241851 7376733 9016007 11592009 27048021 81144063