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21210166680 = 23352315150893
BaseRepresentation
bin10011110000001110…
…010111010110011000
32000202011200002211220
4103300032113112120
5321414300313210
613424355252040
71350415304433
oct236016272630
960664602756
1021210166680
118aa464a17a
12413b2aa020
13200031b7b1
141052d0081a
15842113c70
hex4f0397598

21210166680 has 128 divisors (see below), whose sum is σ = 66838072320. Its totient is φ = 5374195200.

The previous prime is 21210166673. The next prime is 21210166693. The reversal of 21210166680 is 8666101212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391314 + ... + 442206.

It is an arithmetic number, because the mean of its divisors is an integer number (522172440).

Almost surely, 221210166680 is an apocalyptic number.

21210166680 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 21210166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33419036160).

21210166680 is an abundant number, since it is smaller than the sum of its proper divisors (45627905640).

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

21210166680 is a wasteful number, since it uses less digits than its factorization.

21210166680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51081 (or 51077 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 21210166680 its reverse (8666101212), we get a palindrome (29876267892).

The spelling of 21210166680 in words is "twenty-one billion, two hundred ten million, one hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 151 184 230 276 302 345 453 460 552 604 690 755 906 920 1208 1380 1510 1812 2265 2760 3020 3473 3624 4530 6040 6946 9060 10419 13892 17365 18120 20838 27784 34730 41676 50893 52095 69460 83352 101786 104190 138920 152679 203572 208380 254465 305358 407144 416760 508930 610716 763395 1017860 1170539 1221432 1526790 2035720 2341078 3053580 3511617 4682156 5852695 6107160 7023234 7684843 9364312 11705390 14046468 15369686 17558085 23054529 23410780 28092936 30739372 35116170 38424215 46109058 46821560 61478744 70232340 76848430 92218116 115272645 140464680 153696860 176751389 184436232 230545290 307393720 353502778 461090580 530254167 707005556 883756945 922181160 1060508334 1414011112 1767513890 2121016668 2651270835 3535027780 4242033336 5302541670 7070055560 10605083340 21210166680