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81350016 = 2731119259
BaseRepresentation
bin1001101100101…
…00110110000000
312200002000020120
410312110312000
5131311200031
612023340240
72005315026
oct466246600
9180060216
1081350016
1141a13520
12232b1680
1313b13a07
14ab38716
15721da96
hex4d94d80

81350016 has 64 divisors (see below), whose sum is σ = 235742400. Its totient is φ = 24650240.

The previous prime is 81349991. The next prime is 81350033. The reversal of 81350016 is 61005318.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5406 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (3683475).

Almost surely, 281350016 is an apocalyptic number.

It is an amenable number.

81350016 is an abundant number, since it is smaller than the sum of its proper divisors (154392384).

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

81350016 is a wasteful number, since it uses less digits than its factorization.

81350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19287 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 81350016 is about 9019.4243718765. The cubic root of 81350016 is about 433.2971983018.

The spelling of 81350016 in words is "eighty-one million, three hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 19259 38518 57777 77036 115554 154072 211849 231108 308144 423698 462216 616288 635547 847396 924432 1232576 1271094 1694792 1848864 2465152 2542188 3389584 3697728 5084376 6779168 7395456 10168752 13558336 20337504 27116672 40675008 81350016