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21140673060 = 22351323795501
BaseRepresentation
bin10011101100000101…
…010001001000100100
32000120022220110112010
4103230011101020210
5321244003014220
613413433554220
71345612520223
oct235405211044
960508813463
1021140673060
118a693a4631
12411bb75970
131cbbac9600
1410479b0cba
1583ae881e0
hex4ec151224

21140673060 has 144 divisors (see below), whose sum is σ = 64278325440. Its totient is φ = 5189184000.

The previous prime is 21140673041. The next prime is 21140673067. The reversal of 21140673060 is 6037604112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21140673067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3840310 + ... + 3845810.

It is an arithmetic number, because the mean of its divisors is an integer number (446377260).

Almost surely, 221140673060 is an apocalyptic number.

21140673060 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 21140673060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32139162720).

21140673060 is an abundant number, since it is smaller than the sum of its proper divisors (43137652380).

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

21140673060 is a wasteful number, since it uses less digits than its factorization.

21140673060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 21140673060 in words is "twenty-one billion, one hundred forty million, six hundred seventy-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 379 390 507 676 758 780 845 1014 1137 1516 1690 1895 2028 2274 2535 3380 3790 4548 4927 5070 5501 5685 7580 9854 10140 11002 11370 14781 16503 19708 22004 22740 24635 27505 29562 33006 49270 55010 59124 64051 66012 71513 73905 82515 98540 110020 128102 143026 147810 165030 192153 214539 256204 286052 295620 320255 330060 357565 384306 429078 640510 715130 768612 858156 929669 960765 1072695 1281020 1430260 1859338 1921530 2084879 2145390 2789007 3718676 3843060 4169758 4290780 4648345 5578014 6254637 8339516 9296690 10424395 11156028 12509274 13945035 18593380 20848790 25018548 27103427 27890070 31273185 41697580 54206854 55780140 62546370 81310281 108413708 125092740 135517135 162620562 271034270 325241124 352344551 406551405 542068540 704689102 813102810 1057033653 1409378204 1626205620 1761722755 2114067306 3523445510 4228134612 5285168265 7046891020 10570336530 21140673060