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20205476060 = 225711109120371
BaseRepresentation
bin10010110100010101…
…110001100011011100
31221011011011112102012
4102310111301203130
5312340100213220
613140545250352
71313465466320
oct226425614334
957134145365
1020205476060
118629512250
123aba9339b8
131ba012b5c3
14d996d1980
157d3d07ac5
hex4b45718dc

20205476060 has 96 divisors (see below), whose sum is σ = 53387389440. Its totient is φ = 6239980800.

The previous prime is 20205476059. The next prime is 20205476063. The reversal of 20205476060 is 6067450202.

It is a super-2 number, since 2×202054760602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205476063) 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, 107675 + ... + 228045.

It is an arithmetic number, because the mean of its divisors is an integer number (556118640).

Almost surely, 220205476060 is an apocalyptic number.

20205476060 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 20205476060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693694720).

20205476060 is an abundant number, since it is smaller than the sum of its proper divisors (33181913380).

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

20205476060 is a wasteful number, since it uses less digits than its factorization.

20205476060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120507 (or 120505 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 20205476060 in words is "twenty billion, two hundred five million, four hundred seventy-six thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 763 770 1090 1199 1526 1540 2180 2398 3052 3815 4796 5995 7630 8393 11990 15260 16786 23980 33572 41965 83930 120371 167860 240742 481484 601855 842597 1203710 1324081 1685194 2407420 2648162 3370388 4212985 5296324 6620405 8425970 9268567 13120439 13240810 16851940 18537134 26240878 26481620 37074268 46342835 52481756 65602195 91843073 92685670 131204390 144324829 183686146 185371340 262408780 288649658 367372292 459215365 577299316 721624145 918430730 1010273803 1443248290 1836861460 2020547606 2886496580 4041095212 5051369015 10102738030 20205476060