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20990890891044 = 22341491732513353
BaseRepresentation
bin1001100010111010100101…
…00110000101011100100100
32202022201011021111020210000
410301131102212011130210
510222403321032003134
6112351025424501300
74264353562435644
oct461352246053444
982281137436700
1020990890891044
116763206749608
122430212a7a830
13b93581319679
14527d709aa524
1526604ba6be99
hex131752985724

20990890891044 has 120 divisors (see below), whose sum is σ = 55561962871800. Its totient is φ = 6909827959296.

The previous prime is 20990890891043. The next prime is 20990890891051. The reversal of 20990890891044 is 44019809809902.

It can be written as a sum of positive squares in 4 ways, for example, as 4056349065444 + 16934541825600 = 2014038^2 + 4115160^2 .

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 not an unprimeable number, because it can be changed into a prime (20990890891043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7095072 + ... + 9608424.

It is an arithmetic number, because the mean of its divisors is an integer number (463016357265).

Almost surely, 220990890891044 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 20990890891044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780981435900).

20990890891044 is an abundant number, since it is smaller than the sum of its proper divisors (34571071980756).

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

20990890891044 is a wasteful number, since it uses less digits than its factorization.

20990890891044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513691 (or 2513680 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 20990890891044 in words is "twenty trillion, nine hundred ninety billion, eight hundred ninety million, eight hundred ninety-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 173 298 324 346 447 519 596 692 894 1038 1341 1557 1788 2076 2682 3114 4023 4671 5364 6228 8046 9342 12069 14013 16092 18684 24138 25777 28026 48276 51554 56052 77331 103108 154662 231993 309324 463986 695979 927972 1391958 2087937 2513353 2783916 4175874 5026706 7540059 8351748 10053412 15080118 22620177 30160236 45240354 67860531 90480708 135721062 203581593 271442124 374489597 407163186 434810069 748979194 814326372 869620138 1123468791 1304430207 1497958388 1739240276 2246937582 2608860414 3370406373 3913290621 4493875164 5217720828 6740812746 7826581242 10111219119 11739871863 13481625492 15653162484 20222438238 23479743726 30333657357 35219615589 40444876476 46959487452 60667314714 64786700281 70439231178 121334629428 129573400562 140878462356 194360100843 259146801124 388720201686 583080302529 777440403372 1166160605058 1749240907587 2332321210116 3498481815174 5247722722761 6996963630348 10495445445522 20990890891044