Search a number
-
+
21071616016660 = 225111373531980523
BaseRepresentation
bin1001100101010000111100…
…01100000000000100010100
32202121102112011001112010021
410302220132030000010110
510230214132200013120
6112452100004234524
74303242200616256
oct462503614000424
982542464045107
1021071616016660
1167944709a6260
1224439a169ba44
13b9b077749ca1
1452bc2bb7dcd6
152681c3a22aaa
hex132a1e300114

21071616016660 has 96 divisors (see below), whose sum is σ = 48763289457792. Its totient is φ = 7584923934720.

The previous prime is 21071616016643. The next prime is 21071616016741. The reversal of 21071616016660 is 6661061617012.

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, 9649159 + ... + 11629681.

It is an arithmetic number, because the mean of its divisors is an integer number (507950931852).

Almost surely, 221071616016660 is an apocalyptic number.

21071616016660 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 21071616016660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24381644728896).

21071616016660 is an abundant number, since it is smaller than the sum of its proper divisors (27691673441132).

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

21071616016660 is a wasteful number, since it uses less digits than its factorization.

21071616016660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981033 (or 1981031 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 21071616016660 in words is "twenty-one trillion, seventy-one billion, six hundred sixteen million, sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 353 548 685 706 1370 1412 1507 1765 2740 3014 3530 3883 6028 7060 7535 7766 15070 15532 19415 30140 38830 48361 77660 96722 193444 241805 483610 531971 967220 1063942 1980523 2127884 2659855 3961046 5319710 7922092 9902615 10639420 19805230 21785753 39610460 43571506 87143012 108928765 217857530 271331651 435715060 542663302 699124619 1085326604 1356658255 1398249238 2713316510 2796498476 2984648161 3495623095 5426633020 5969296322 6991246190 7690370809 11938592644 13982492380 14923240805 15380741618 29846481610 30761483236 38451854045 59692963220 76903708090 95780072803 153807416180 191560145606 383120291212 478900364015 957800728030 1053580800833 1915601456060 2107161601666 4214323203332 5267904004165 10535808008330 21071616016660