Search a number
-
+
81005500160 = 2851347103577
BaseRepresentation
bin100101101110001001…
…1011101011100000000
321202002102010202220122
41023130103131130000
52311344402001120
6101114032555412
75565251250644
oct1133423353400
9252072122818
1081005500160
1131399547252
12138486b2b68
13783c549620
143cc6518c24
1521918d9a25
hex12dc4dd700

81005500160 has 144 divisors (see below), whose sum is σ = 213407139456. Its totient is φ = 29273063424.

The previous prime is 81005500109. The next prime is 81005500171. The reversal of 81005500160 is 6100550018.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730292 + ... + 833868.

It is an arithmetic number, because the mean of its divisors is an integer number (1481994024).

Almost surely, 281005500160 is an apocalyptic number.

81005500160 is a gapful number since it is divisible by the number (80) 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 81005500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106703569728).

81005500160 is an abundant number, since it is smaller than the sum of its proper divisors (132401639296).

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

81005500160 is a wasteful number, since it uses less digits than its factorization.

81005500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103658 (or 103644 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 81005500160 in words is "eighty-one billion, five million, five hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 80 94 104 128 130 160 188 208 235 256 260 320 376 416 470 520 611 640 752 832 940 1040 1222 1280 1504 1664 1880 2080 2444 3008 3055 3328 3760 4160 4888 6016 6110 7520 8320 9776 12032 12220 15040 16640 19552 24440 30080 39104 48880 60160 78208 97760 103577 156416 195520 207154 391040 414308 517885 782080 828616 1035770 1346501 1657232 2071540 2693002 3314464 4143080 4868119 5386004 6628928 6732505 8286160 9736238 10772008 13257856 13465010 16572320 19472476 21544016 24340595 26515712 26930020 33144640 38944952 43088032 48681190 53860040 63285547 66289280 77889904 86176064 97362380 107720080 126571094 132578560 155779808 172352128 194724760 215440160 253142188 311559616 316427735 344704256 389449520 430880320 506284376 623119232 632855470 778899040 861760640 1012568752 1246238464 1265710940 1557798080 1723521280 2025137504 2531421880 3115596160 4050275008 5062843760 6231192320 8100550016 10125687520 16201100032 20251375040 40502750080 81005500160