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201601983621996 = 223341137332327761
BaseRepresentation
bin101101110101101100011110…
…100111101010101101101100
3222102210221221212102222101000
4231311230132213222231230
5202411021330301400441
61552434401150120300
760315156043401216
oct5565543647525554
9872727855388330
10201601983621996
1159266a15002361
121a73b9944b0090
138864ca7146639
1437ad8339455b6
1518491e489d2b6
hexb75b1e9eab6c

201601983621996 has 96 divisors (see below), whose sum is σ = 539328078394560. Its totient is φ = 65083068518400.

The previous prime is 201601983621989. The next prime is 201601983622021. The reversal of 201601983621996 is 699126389106102.

201601983621996 is a `hidden beast` number, since 2 + 0 + 1 + 601 + 9 + 8 + 3 + 6 + 2 + 19 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165557245 + ... + 166770516.

It is an arithmetic number, because the mean of its divisors is an integer number (5618000816610).

Almost surely, 2201601983621996 is an apocalyptic number.

It is an amenable number.

201601983621996 is an abundant number, since it is smaller than the sum of its proper divisors (337726094772564).

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

201601983621996 is a wasteful number, since it uses less digits than its factorization.

201601983621996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332327952 (or 332327944 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 201601983621996 in words is "two hundred one trillion, six hundred one billion, nine hundred eighty-three million, six hundred twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 137 164 246 274 369 411 492 548 738 822 1107 1233 1476 1644 2214 2466 3699 4428 4932 5617 7398 11234 14796 16851 22468 33702 50553 67404 101106 151659 202212 303318 606636 332327761 664655522 996983283 1329311044 1993966566 2990949849 3987933132 5981899698 8972849547 11963799396 13625438201 17945699094 27250876402 35891398188 40876314603 45528903257 54501752804 81752629206 91057806514 122628943809 136586709771 163505258412 182115613028 245257887618 273173419542 367886831427 409760129313 490515775236 546346839084 735773662854 819520258626 1229280387939 1471547325708 1639040517252 1866685033537 2458560775878 3733370067074 4917121551756 5600055100611 7466740134148 11200110201222 16800165301833 22400220402444 33600330603666 50400495905499 67200661207332 100800991810998 201601983621996