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20605548020 = 225171372771597
BaseRepresentation
bin10011001100001011…
…111011010111110100
31222012000222021222012
4103030023323113310
5314200010014040
613244400223352
71326424161011
oct231413732764
958160867865
1020605548020
118814327232
123bb090ab58
131c34c96885
14dd68b4708
15808ed2865
hex4cc2fb5f4

20605548020 has 96 divisors (see below), whose sum is σ = 46347088032. Its totient is φ = 7668154368.

The previous prime is 20605547999. The next prime is 20605548059. The reversal of 20605548020 is 2084550602.

It can be written as a sum of positive squares in 16 ways, for example, as 6786134884 + 13819413136 = 82378^2 + 117556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12901862 + ... + 12903458.

It is an arithmetic number, because the mean of its divisors is an integer number (482782167).

Almost surely, 220605548020 is an apocalyptic number.

20605548020 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 20605548020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173544016).

20605548020 is an abundant number, since it is smaller than the sum of its proper divisors (25741540012).

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

20605548020 is a wasteful number, since it uses less digits than its factorization.

20605548020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 20605548020 in words is "twenty billion, six hundred five million, five hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 277 340 548 554 685 1108 1370 1385 1597 2329 2740 2770 3194 4658 4709 5540 6388 7985 9316 9418 11645 15970 18836 23290 23545 27149 31940 37949 46580 47090 54298 75898 94180 108596 135745 151796 189745 218789 271490 379490 437578 442369 542980 645133 758980 875156 884738 1093945 1290266 1769476 2187890 2211845 2580532 3225665 3719413 4375780 4423690 6451330 7438826 7520273 8847380 12902660 14877652 15040546 18597065 30081092 37194130 37601365 60604553 74388260 75202730 121209106 150405460 242418212 303022765 606045530 1030277401 1212091060 2060554802 4121109604 5151387005 10302774010 20605548020