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21330106266460 = 22529269331413033
BaseRepresentation
bin1001101100110010011010…
…11010000011001101011100
32210112010201210001202102211
410312121031122003031130
510243433024201011320
6113210525431330204
74331022626524015
oct466311532031534
983463653052384
1021330106266460
116884057a04882
122485b01520964
13bb956079c114
1453a54ddd400c
1526eca1dc655a
hex13664d68335c

21330106266460 has 96 divisors (see below), whose sum is σ = 46650703377600. Its totient is φ = 8182395217920.

The previous prime is 21330106266451. The next prime is 21330106266473. The reversal of 21330106266460 is 6466260103312.

It is a happy number.

It is a congruent number.

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, 51436104 + ... + 51849136.

It is an arithmetic number, because the mean of its divisors is an integer number (485944826850).

Almost surely, 221330106266460 is an apocalyptic number.

21330106266460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330106266460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23325351688800).

21330106266460 is an abundant number, since it is smaller than the sum of its proper divisors (25320597111140).

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

21330106266460 is a wasteful number, since it uses less digits than its factorization.

21330106266460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413671 (or 413669 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

Adding to 21330106266460 its reverse (6466260103312), we get a palindrome (27796366369772).

The spelling of 21330106266460 in words is "twenty-one trillion, three hundred thirty billion, one hundred six million, two hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 331 538 580 662 1076 1324 1345 1655 2690 3310 5380 6620 7801 9599 15602 19198 31204 38396 39005 47995 78010 89039 95990 156020 178078 191980 356156 413033 445195 826066 890390 1652132 1780780 2065165 2582131 4130330 5164262 8260660 10328524 11977957 12910655 23955914 25821310 47911828 51642620 59889785 111105877 119779570 136713923 222211754 239559140 273427846 444423508 546855692 555529385 683569615 1111058770 1367139230 2222117540 2734278460 3222070433 3964703767 6444140866 7929407534 12888281732 15858815068 16110352165 19823518835 32220704330 36776045287 39647037670 64441408660 73552090574 79294075340 147104181148 183880226435 367760452870 735520905740 1066505313323 2133010626646 4266021253292 5332526566615 10665053133230 21330106266460