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21032068560 = 2435439199621
BaseRepresentation
bin10011100101100110…
…111110010111010000
32000021202112210011020
4103211212332113100
5321033202143220
613354554115440
71343123430066
oct234546762720
960252483136
1021032068560
118a13066448
1240ab71bb80
131ca24624a9
1410373c0036
15831684040
hex4e59be5d0

21032068560 has 80 divisors (see below), whose sum is σ = 65348257920. Its totient is φ = 5595747840.

The previous prime is 21032068543. The next prime is 21032068573. The reversal of 21032068560 is 6586023012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5550 + ... + 205170.

It is an arithmetic number, because the mean of its divisors is an integer number (816853224).

Almost surely, 221032068560 is an apocalyptic number.

21032068560 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 21032068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32674128960).

21032068560 is an abundant number, since it is smaller than the sum of its proper divisors (44316189360).

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

21032068560 is a wasteful number, since it uses less digits than its factorization.

21032068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200076 (or 200070 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 21032068560 in words is "twenty-one billion, thirty-two million, sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 439 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 17560 21072 26340 35120 52680 105360 199621 399242 598863 798484 998105 1197726 1596968 1996210 2395452 2994315 3193936 3992420 4790904 5988630 7984840 9581808 11977260 15969680 23954520 47909040 87633619 175267238 262900857 350534476 438168095 525801714 701068952 876336190 1051603428 1314504285 1402137904 1752672380 2103206856 2629008570 3505344760 4206413712 5258017140 7010689520 10516034280 21032068560