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21292785060 = 22354773310301
BaseRepresentation
bin10011110101001001…
…100001110110100100
32000221221010112221220
4103311021201312210
5322101423110220
613440510140340
71352440454361
oct236511416644
960857115856
1021292785060
119037249628
124162ab16b0
132014487901
14105dc89468
158494d3540
hex4f5261da4

21292785060 has 96 divisors (see below), whose sum is σ = 60977290752. Its totient is φ = 5549145600.

The previous prime is 21292785047. The next prime is 21292785067. The reversal of 21292785060 is 6058729212.

It is a super-2 number, since 2×212927850602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21292785067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2061910 + ... + 2072210.

It is an arithmetic number, because the mean of its divisors is an integer number (635180112).

Almost surely, 221292785060 is an apocalyptic number.

21292785060 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 21292785060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30488645376).

21292785060 is an abundant number, since it is smaller than the sum of its proper divisors (39684505692).

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

21292785060 is a wasteful number, since it uses less digits than its factorization.

21292785060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11091 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 21292785060 in words is "twenty-one billion, two hundred ninety-two million, seven hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 733 940 1410 1466 2199 2820 2932 3665 4398 7330 8796 10301 10995 14660 20602 21990 30903 34451 41204 43980 51505 61806 68902 103010 103353 123612 137804 154515 172255 206020 206706 309030 344510 413412 484147 516765 618060 689020 968294 1033530 1452441 1936588 2067060 2420735 2904882 4841470 5809764 7262205 7550633 9682940 14524410 15101266 22651899 29048820 30202532 37753165 45303798 75506330 90607596 113259495 151012660 226518990 354879751 453037980 709759502 1064639253 1419519004 1774398755 2129278506 3548797510 4258557012 5323196265 7097595020 10646392530 21292785060