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21324212640 = 2532523643847
BaseRepresentation
bin10011110111000001…
…011010100110100000
32001001010021020111100
4103313001122212200
5322132444301030
613443551514400
71353301550103
oct236701324640
961033236440
1021324212640
119052a64635
124171528a00
13201ab3c603
14106410a73a
1584c140360
hex4f705a9a0

21324212640 has 144 divisors (see below), whose sum is σ = 75932857728. Its totient is φ = 5439211008.

The previous prime is 21324212621. The next prime is 21324212669. The reversal of 21324212640 is 4621242312.

21324212640 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 2 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288804 + ... + 355043.

It is an arithmetic number, because the mean of its divisors is an integer number (527311512).

Almost surely, 221324212640 is an apocalyptic number.

21324212640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21324212640 is an abundant number, since it is smaller than the sum of its proper divisors (54608645088).

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

21324212640 is a wasteful number, since it uses less digits than its factorization.

21324212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643891 (or 643880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21324212640 its reverse (4621242312), we get a palindrome (25945454952).

The spelling of 21324212640 in words is "twenty-one billion, three hundred twenty-four million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 643847 1287694 1931541 2575388 3219235 3863082 5150776 5794623 6438470 7726164 9657705 10301552 11589246 12876940 14808481 15452328 19315410 20603104 23178492 25753880 28973115 29616962 30904656 38630820 44425443 46356984 51507760 57946230 59233924 61809312 74042405 77261640 88850886 92713968 103015520 115892460 118467848 133276329 148084810 154523280 177701772 185427936 222127215 231784920 236935696 266552658 296169620 309046560 355403544 444254430 463569840 473871392 533105316 592339240 666381645 710807088 888508860 927139680 1066210632 1184678480 1332763290 1421614176 1777017720 2132421264 2369356960 2665526580 3554035440 4264842528 5331053160 7108070880 10662106320 21324212640