Search a number
-
+
81904428288 = 283311849599
BaseRepresentation
bin100110001000111100…
…0100110010100000000
321211102001122001111000
41030101320212110000
52320220013201123
6101343144052000
75626445103444
oct1142170462400
9254361561430
1081904428288
113180aa07261
1213a59764000
137953859167
143d6da76824
1521e57a3b43
hex1311e26500

81904428288 has 72 divisors (see below), whose sum is σ = 242205824000. Its totient is φ = 27301473792.

The previous prime is 81904428283. The next prime is 81904428301. The reversal of 81904428288 is 88282440918.

81904428288 is a `hidden beast` number, since 8 + 190 + 4 + 428 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×819044282882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81904428283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5917888 + ... + 5931711.

Almost surely, 281904428288 is an apocalyptic number.

It is an amenable number.

81904428288 is an abundant number, since it is smaller than the sum of its proper divisors (160301395712).

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

81904428288 is a wasteful number, since it uses less digits than its factorization.

81904428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849624 (or 11849604 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 81904428288 in words is "eighty-one billion, nine hundred four million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 11849599 23699198 35548797 47398396 71097594 94796792 106646391 142195188 189593584 213292782 284390376 319939173 379187168 426585564 568780752 639878346 758374336 853171128 1137561504 1279756692 1516748672 1706342256 2275123008 2559513384 3033497344 3412684512 4550246016 5119026768 6825369024 9100492032 10238053536 13650738048 20476107072 27301476096 40952214144 81904428288