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20643851140 = 22511276911093
BaseRepresentation
bin10011001110011110…
…000010101110000100
31222021201001021222021
4103032132002232010
5314234311214030
613252245212524
71330400560633
oct231636025604
958251037867
1020643851140
118833a08a00
124001701144
131c3cbb7c43
14ddba0551a
1580c54b97a
hex4ce782b84

20643851140 has 72 divisors (see below), whose sum is σ = 47717734680. Its totient is φ = 7496417280.

The previous prime is 20643851119. The next prime is 20643851141. The reversal of 20643851140 is 4115834602.

It can be written as a sum of positive squares in 4 ways, for example, as 3892761664 + 16751089476 = 62392^2 + 129426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20643851096 and 20643851105.

It is not an unprimeable number, because it can be changed into a prime (20643851141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855434 + ... + 1866526.

It is an arithmetic number, because the mean of its divisors is an integer number (662746315).

Almost surely, 220643851140 is an apocalyptic number.

20643851140 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 20643851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858867340).

20643851140 is an abundant number, since it is smaller than the sum of its proper divisors (27073883540).

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

20643851140 is a wasteful number, since it uses less digits than its factorization.

20643851140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 20643851140 in words is "twenty billion, six hundred forty-three million, eight hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 769 1210 1538 2420 3076 3845 7690 8459 11093 15380 16918 22186 33836 42295 44372 55465 84590 93049 110930 122023 169180 186098 221860 244046 372196 465245 488092 610115 930490 1220230 1342253 1860980 2440460 2684506 5369012 6711265 8530517 13422530 17061034 26845060 34122068 42652585 85305170 93835687 170610340 187671374 375342748 469178435 938356870 1032192557 1876713740 2064385114 4128770228 5160962785 10321925570 20643851140