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81399168 = 27352617
BaseRepresentation
bin1001101101000…
…00110110000000
312200011111200000
410312200312000
5131314233133
612024400000
72005611234
oct466406600
9180144600
1081399168
1141a47444
1223316000
1313b301b6
14ab4c5c4
15722d413
hex4da0d80

81399168 has 96 divisors (see below), whose sum is σ = 243002760. Its totient is φ = 27122688.

The previous prime is 81399127. The next prime is 81399187. The reversal of 81399168 is 86199318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29796 + ... + 32412.

Almost surely, 281399168 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 81399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121501380).

81399168 is an abundant number, since it is smaller than the sum of its proper divisors (161603592).

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

81399168 is an equidigital number, since it uses as much as digits as its factorization.

81399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2622 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 81399168 is about 9022.1487462799. The cubic root of 81399168 is about 433.3844473565.

The spelling of 81399168 in words is "eighty-one million, three hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 2617 3456 3888 5184 5234 7776 7851 10368 10468 15552 15702 20936 23553 31104 31404 41872 47106 62808 70659 83744 94212 125616 141318 167488 188424 211977 251232 282636 334976 376848 423954 502464 565272 635931 753696 847908 1004928 1130544 1271862 1507392 1695816 2261088 2543724 3014784 3391632 4522176 5087448 6783264 9044352 10174896 13566528 20349792 27133056 40699584 81399168