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6550681924900 = 2252211212132
BaseRepresentation
bin101111101010011001100…
…0100011011010100100100
3212012020110021201210212101
41133110303010123110210
51324311244033044100
621533201451501444
71244162001433531
oct137246304332444
925166407653771
106550681924900
1120a61461971a3
12899696157884
1338695a5cb739
141890aa133d88
15b55e926286a
hex5f53311b524

6550681924900 has 81 divisors (see below), whose sum is σ = 14294453008563. Its totient is φ = 2605704494400.

The previous prime is 6550681924883. The next prime is 6550681924903. The reversal of 6550681924900 is 94291860556.

The square root of 6550681924900 is 2559430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2873614890276 + 3677067034624 = 1695174^2 + 1917568^2 .

It is a super-2 number, since 2×65506819249002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6550681924903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5400396694 + ... + 5400397906.

Almost surely, 26550681924900 is an apocalyptic number.

6550681924900 is the 2559430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6550681924900

6550681924900 is an abundant number, since it is smaller than the sum of its proper divisors (7743771083663).

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

6550681924900 is an equidigital number, since it uses as much as digits as its factorization.

6550681924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 6550681924900 in words is "six trillion, five hundred fifty billion, six hundred eighty-one million, nine hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 1213 2110 2426 4220 4852 5275 6065 10550 12130 21100 24260 30325 44521 60650 89042 121300 178084 222605 255943 445210 511886 890420 1023772 1113025 1279715 1471369 2226050 2559430 2942738 4452100 5118860 5885476 6398575 7356845 12797150 14713690 25594300 29427380 36784225 54003973 73568450 108007946 147136900 216015892 270019865 310458859 540039730 620917718 1080079460 1241835436 1350099325 1552294295 2700198650 3104588590 5400397300 6209177180 7761471475 15522942950 31045885900 65506819249 131013638498 262027276996 327534096245 655068192490 1310136384980 1637670481225 3275340962450 6550681924900