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21254343660 = 223251125142767
BaseRepresentation
bin10011110010110110…
…111000101111101100
32000212020210112021100
4103302312320233230
5322012102444120
613433014203100
71351462640334
oct236266705754
960766715240
1021254343660
119017582a80
124152053490
132009518614
141058b200c4
15845e3d490
hex4f2db8bec

21254343660 has 144 divisors (see below), whose sum is σ = 70614415872. Its totient is φ = 5131920000.

The previous prime is 21254343637. The next prime is 21254343661. The reversal of 21254343660 is 6634345212.

21254343660 is a `hidden beast` number, since 2 + 1 + 254 + 343 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21254343661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475597 + ... + 518363.

It is an arithmetic number, because the mean of its divisors is an integer number (490377888).

Almost surely, 221254343660 is an apocalyptic number.

21254343660 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 21254343660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35307207936).

21254343660 is an abundant number, since it is smaller than the sum of its proper divisors (49360072212).

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

21254343660 is a wasteful number, since it uses less digits than its factorization.

21254343660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43044 (or 43039 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 21254343660 its reverse (6634345212), we get a palindrome (27888688872).

The spelling of 21254343660 in words is "twenty-one billion, two hundred fifty-four million, three hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 251 330 396 495 502 660 753 990 1004 1255 1506 1980 2259 2510 2761 3012 3765 4518 5020 5522 7530 8283 9036 11044 11295 13805 15060 16566 22590 24849 27610 33132 41415 42767 45180 49698 55220 82830 85534 99396 124245 128301 165660 171068 213835 248490 256602 384903 427670 470437 496980 513204 641505 769806 855340 940874 1283010 1411311 1539612 1881748 1924515 2352185 2566020 2822622 3849030 4233933 4704370 5645244 7056555 7698060 8467866 9408740 10734517 14113110 16935732 21169665 21469034 28226220 32203551 42339330 42938068 53672585 64407102 84678660 96610653 107345170 118079687 128814204 161017755 193221306 214690340 236159374 322035510 354239061 386442612 472318748 483053265 590398435 644071020 708478122 966106530 1062717183 1180796870 1416956244 1771195305 1932213060 2125434366 2361593740 3542390610 4250868732 5313585915 7084781220 10627171830 21254343660