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181827116536 = 231331531318123
BaseRepresentation
bin1010100101010110111…
…1011001110111111000
3122101022211210112221111
42221111233121313320
510434340220212121
6215310310050104
716064562663322
oct2512557316770
9571284715844
10181827116536
117012673794a
122b2a5649934
13141b9339cb0
148b2c730612
154ae2d1b2e1
hex2a55bd9df8

181827116536 has 128 divisors (see below), whose sum is σ = 389140899840. Its totient is φ = 79062796800.

The previous prime is 181827116531. The next prime is 181827116557. The reversal of 181827116536 is 635611728181.

It is a happy number.

It is a super-2 number, since 2×1818271165362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 181827116536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181827116531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22380171 + ... + 22388293.

It is an arithmetic number, because the mean of its divisors is an integer number (3040163280).

Almost surely, 2181827116536 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 181827116536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194570449920).

181827116536 is an abundant number, since it is smaller than the sum of its proper divisors (207313783304).

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

181827116536 is a wasteful number, since it uses less digits than its factorization.

181827116536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8353 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

The spelling of 181827116536 in words is "one hundred eighty-one billion, eight hundred twenty-seven million, one hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 53 62 104 106 124 131 212 248 262 403 424 524 689 806 1048 1378 1612 1643 1703 2756 3224 3286 3406 4061 5512 6572 6812 6943 8122 8123 13144 13624 13886 16244 16246 21359 27772 32488 32492 42718 52793 55544 64984 85436 90259 105586 105599 170872 180518 211172 211198 215233 251813 361036 422344 422396 430466 430519 503626 722072 844792 860932 861038 1007252 1064113 1721864 1722076 2014504 2128226 2798029 3273569 3444152 4256452 5596058 5596747 6547138 8512904 11192116 11193494 13094276 13346089 13833469 22384232 22386988 26188552 26692178 27666938 32987503 44773976 53384356 55333876 56397989 65975006 106768712 110667752 112795978 131950012 173499157 225591956 263900024 346998314 428837539 451183912 693996628 733173857 857675078 1387993256 1466347714 1715350156 1748337659 2932695428 3430700312 3496675318 5865390856 6993350636 13986701272 22728389567 45456779134 90913558268 181827116536