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20855935890 = 2345121721157
BaseRepresentation
bin10011011011000111…
…000101001110010010
31222211111010022120000
4103123013011032102
5320203104422030
613325303030430
71335554346546
oct233307051622
958744108500
1020855935890
1189326a5359
12406073b416
131c74b1398a
14101bc51a26
15820e91860
hex4db1c5392

20855935890 has 80 divisors (see below), whose sum is σ = 56128027032. Its totient is φ = 5556750336.

The previous prime is 20855935889. The next prime is 20855935897. The reversal of 20855935890 is 9853955802.

20855935890 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 59 + 3 + 589 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8931951081 + 11923984809 = 94509^2 + 109197^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20855935897) 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 39 ways as a sum of consecutive naturals, for example, 975192 + ... + 996348.

Almost surely, 220855935890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20855935890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064013516).

20855935890 is an abundant number, since it is smaller than the sum of its proper divisors (35272091142).

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

20855935890 is a wasteful number, since it uses less digits than its factorization.

20855935890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 20855935890 in words is "twenty billion, eight hundred fifty-five million, nine hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1217 2434 3651 6085 7302 10953 12170 18255 21157 21906 32859 36510 42314 54765 63471 65718 98577 105785 109530 126942 164295 190413 197154 211570 317355 328590 380826 492885 571239 634710 952065 985770 1142478 1713717 1904130 2856195 3427434 5712390 8568585 17137170 25748069 51496138 77244207 128740345 154488414 231732621 257480690 386221035 463465242 695197863 772442070 1158663105 1390395726 2085593589 2317326210 3475989315 4171187178 6951978630 10427967945 20855935890