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20465110540 = 2257735993343
BaseRepresentation
bin10011000011110100…
…001100111000001100
31221211020201022222001
4103003310030320030
5313403032014130
613222422202044
71323100366210
oct230364147014
957736638861
1020465110540
1187520264a6
123b71883324
131c11b65384
14dc1d98940
157eb9e16ca
hex4c3d0ce0c

20465110540 has 96 divisors (see below), whose sum is σ = 49887129600. Its totient is φ = 6906871296.

The previous prime is 20465110531. The next prime is 20465110541. The reversal of 20465110540 is 4501156402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20465110499 and 20465110508.

It is not an unprimeable number, because it can be changed into a prime (20465110541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6120109 + ... + 6123451.

It is an arithmetic number, because the mean of its divisors is an integer number (519657600).

Almost surely, 220465110540 is an apocalyptic number.

20465110540 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 20465110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943564800).

20465110540 is an abundant number, since it is smaller than the sum of its proper divisors (29422019060).

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

20465110540 is a wasteful number, since it uses less digits than its factorization.

20465110540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 20465110540 its reverse (4501156402), we get a palindrome (24966266942).

The spelling of 20465110540 in words is "twenty billion, four hundred sixty-five million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 599 730 1022 1198 1460 2044 2396 2555 2995 3343 4193 5110 5990 6686 8386 10220 11980 13372 16715 16772 20965 23401 33430 41930 43727 46802 66860 83860 87454 93604 117005 174908 218635 234010 244039 306089 437270 468020 488078 612178 874540 976156 1220195 1224356 1530445 1708273 2002457 2440390 3060890 3416546 4004914 4880780 6121780 6833092 8009828 8541365 10012285 14017199 17082730 20024570 28034398 34165460 40049140 56068796 70085995 140171990 146179361 280343980 292358722 584717444 730896805 1023255527 1461793610 2046511054 2923587220 4093022108 5116277635 10232555270 20465110540