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21217717752 = 23372111640207
BaseRepresentation
bin10011110000101011…
…001010110111111000
32000202200212201222020
4103300223022313320
5321423213432002
613425225154440
71350536424300
oct236053126770
960680781866
1021217717752
118aa8937430
12414192ba20
132001a6379a
141053d08600
15842b062bc
hex4f0acadf8

21217717752 has 96 divisors (see below), whose sum is σ = 67314136320. Its totient is φ = 5511092160.

The previous prime is 21217717739. The next prime is 21217717757. The reversal of 21217717752 is 25771771212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21217717757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807168 + ... + 833039.

It is an arithmetic number, because the mean of its divisors is an integer number (701188920).

Almost surely, 221217717752 is an apocalyptic number.

21217717752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21217717752 is an abundant number, since it is smaller than the sum of its proper divisors (46096418568).

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

21217717752 is a wasteful number, since it uses less digits than its factorization.

21217717752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640241 (or 1640230 counting only the distinct ones).

The product of its digits is 96040, while the sum is 42.

The spelling of 21217717752 in words is "twenty-one billion, two hundred seventeen million, seven hundred seventeen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 1640207 3280414 4920621 6560828 9841242 11481449 13121656 18042277 19682484 22962898 34444347 36084554 39364968 45925796 54126831 68888694 72169108 80370143 91851592 108253662 126295939 137777388 144338216 160740286 216507324 241110429 252591878 275554776 321480572 378887817 433014648 482220858 505183756 642961144 757775634 884071573 964441716 1010367512 1515551268 1768143146 1928883432 2652214719 3031102536 3536286292 5304429438 7072572584 10608858876 21217717752