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21210999966 = 23213592296709
BaseRepresentation
bin10011110000010001…
…100010110010011110
32000202020020102220100
4103300101202302132
5321420003444331
613424425201530
71350425345022
oct236021426236
960666212810
1021210999966
118aa5069242
12413b6302a6
132000550b70
14105307a382
1584222aae6
hex4f0462c9e

21210999966 has 96 divisors (see below), whose sum is σ = 50558508000. Its totient is φ = 6386874624.

The previous prime is 21210999917. The next prime is 21210999973. The reversal of 21210999966 is 66999901212.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3158220 + ... + 3164928.

It is an arithmetic number, because the mean of its divisors is an integer number (526651125).

Almost surely, 221210999966 is an apocalyptic number.

21210999966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210999966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25279254000).

21210999966 is an abundant number, since it is smaller than the sum of its proper divisors (29347508034).

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

21210999966 is a wasteful number, since it uses less digits than its factorization.

21210999966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 21210999966 in words is "twenty-one billion, two hundred ten million, nine hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 229 234 354 458 531 687 767 1062 1374 1534 2061 2301 2977 4122 4602 5954 6709 6903 8931 13418 13511 13806 17862 20127 26793 27022 40254 40533 53586 60381 81066 87217 120762 121599 174434 175643 243198 261651 351286 395831 523302 526929 784953 791662 1053858 1187493 1536361 1569906 1580787 2374986 3072722 3161574 3562479 4609083 5145803 7124958 9218166 10291606 13827249 15437409 19972693 27654498 30874818 39945386 46312227 59918079 90645299 92624454 119836158 179754237 181290598 271935897 359508474 543871794 815807691 1178388887 1631615382 2356777774 3535166661 7070333322 10605499983 21210999966