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21414728589960 = 2335187189953347
BaseRepresentation
bin1001101111010000000010…
…10010100110001010001000
32210211020011020220012020110
410313220001102212022020
510301324331004334320
6113313442425354320
74340106636435306
oct467500122461210
983736136805213
1021414728589960
116906a3200aa22
12249a3993389a0
13bc45284390a4
1454069a9db276
152720a60975e0
hex137a014a6288

21414728589960 has 64 divisors (see below), whose sum is σ = 64244596363200. Its totient is φ = 5710557793536.

The previous prime is 21414728589871. The next prime is 21414728589997. The reversal of 21414728589960 is 6998582741412.

It is a junction number, because it is equal to n+sod(n) for n = 21414728589891 and 21414728589900.

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 15 ways as a sum of consecutive naturals, for example, 21986007 + ... + 22939353.

It is an arithmetic number, because the mean of its divisors is an integer number (1003821818175).

Almost surely, 221414728589960 is an apocalyptic number.

21414728589960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414728589960 is an abundant number, since it is smaller than the sum of its proper divisors (42829867773240).

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

21414728589960 is a wasteful number, since it uses less digits than its factorization.

21414728589960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140550 (or 1140546 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 21414728589960 in words is "twenty-one trillion, four hundred fourteen billion, seven hundred twenty-eight million, five hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 187189 374378 561567 748756 935945 953347 1123134 1497512 1871890 1906694 2246268 2807835 2860041 3743780 3813388 4492536 4766735 5615670 5720082 7487560 7626776 9533470 11231340 11440164 14300205 19066940 22462680 22880328 28600410 38133880 57200820 114401640 178456071583 356912143166 535368214749 713824286332 892280357915 1070736429498 1427648572664 1784560715830 2141472858996 2676841073745 3569121431660 4282945717992 5353682147490 7138242863320 10707364294980 21414728589960