Search a number
-
+
21404612007012 = 223131792293347297
BaseRepresentation
bin1001101110111101001100…
…10010111001010001100100
32210210021001012202112101010
410313132212102321101210
510301143121133211022
6113305050520102220
74336301145053343
oct467364622712144
983707035675333
1021404612007012
116902710508473
122498435304970
13bc35a5550130
1453ddbb1abb5a
15271bb2d5b50c
hex1377a64b9464

21404612007012 has 96 divisors (see below), whose sum is σ = 54322629782400. Its totient is φ = 6520639721472.

The previous prime is 21404612006989. The next prime is 21404612007013. The reversal of 21404612007012 is 21070021640412.

It is not an unprimeable number, because it can be changed into a prime (21404612007013) 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, 4720948 + ... + 8068244.

It is an arithmetic number, because the mean of its divisors is an integer number (565860726900).

Almost surely, 221404612007012 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 21404612007012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27161314891200).

21404612007012 is an abundant number, since it is smaller than the sum of its proper divisors (32918017775388).

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

21404612007012 is a wasteful number, since it uses less digits than its factorization.

21404612007012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347725 (or 3347723 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 21404612007012 its reverse (21070021640412), we get a palindrome (42474633647424).

The spelling of 21404612007012 in words is "twenty-one trillion, four hundred four billion, six hundred twelve million, seven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 229 358 458 537 687 716 916 1074 1374 2148 2327 2748 2977 4654 5954 6981 8931 9308 11908 13962 17862 27924 35724 40991 81982 122973 163964 245946 491892 532883 1065766 1598649 2131532 3197298 3347297 6394596 6694594 10041891 13389188 20083782 40167564 43514861 87029722 130544583 174059444 261089166 522178332 599166163 766531013 1198332326 1533062026 1797498489 2299593039 2396664652 3066124052 3594996978 4599186078 7189993956 7789160119 9198372156 9964903169 15578320238 19929806338 23367480357 29894709507 31156640476 39859612676 46734960714 59789419014 93469921428 119578838028 137209051327 274418102654 411627153981 548836205308 823254307962 1646508615924 1783717667251 3567435334502 5351153001753 7134870669004 10702306003506 21404612007012