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181980001836 = 223337118138561
BaseRepresentation
bin1010100101111011011…
…0100111011000101100
3122101201111110221011000
42221132312213120230
510440143340024321
6215333411000300
716101430331133
oct2513666473054
9571644427130
10181980001836
11701a4a6a936
122b328899090
1314211c09279
148b44b6a91a
154b0146a826
hex2a5eda762c

181980001836 has 96 divisors (see below), whose sum is σ = 484974221760. Its totient is φ = 58969036800.

The previous prime is 181980001823. The next prime is 181980001843. The reversal of 181980001836 is 638100089181.

It is a junction number, because it is equal to n+sod(n) for n = 181980001791 and 181980001800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699996 + ... + 4738556.

It is an arithmetic number, because the mean of its divisors is an integer number (5051814810).

Almost surely, 2181980001836 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 181980001836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242487110880).

181980001836 is an abundant number, since it is smaller than the sum of its proper divisors (302994219924).

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

181980001836 is a wasteful number, since it uses less digits than its factorization.

181980001836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39792 (or 39784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 181980001836 in words is "one hundred eighty-one billion, nine hundred eighty million, one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1181 1332 1998 2362 3543 3996 4724 7086 10629 14172 21258 31887 38561 42516 43697 63774 77122 87394 115683 127548 131091 154244 174788 231366 262182 347049 393273 462732 524364 694098 786546 1041147 1179819 1388196 1426757 1573092 2082294 2359638 2853514 4164588 4280271 4719276 5707028 8560542 12840813 17121084 25681626 38522439 45540541 51363252 77044878 91081082 136621623 154089756 182162164 273243246 409864869 546486492 819729738 1229594607 1639459476 1685000017 2459189214 3370000034 4918378428 5055000051 6740000068 10110000102 15165000153 20220000204 30330000306 45495000459 60660000612 90990000918 181980001836