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13813410420 = 22325588113049
BaseRepresentation
bin11001101110101011…
…11110101001110100
31022122200100221210100
430313111332221310
5211242213113140
610202405154100
7666211023405
oct146725765164
938580327710
1013813410420
115949345777
1228160bb930
1313c1a6b844
149507c59ac
1555ca77530
hex33757ea74

13813410420 has 72 divisors (see below), whose sum is σ = 41911014600. Its totient is φ = 3682667520.

The previous prime is 13813410383. The next prime is 13813410427. The reversal of 13813410420 is 2401431831.

It can be written as a sum of positive squares in 4 ways, for example, as 3641881104 + 10171529316 = 60348^2 + 100854^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813410427) 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, 1052056 + ... + 1065104.

It is an arithmetic number, because the mean of its divisors is an integer number (582097425).

Almost surely, 213813410420 is an apocalyptic number.

13813410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13813410420 is an abundant number, since it is smaller than the sum of its proper divisors (28097604180).

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

13813410420 is a wasteful number, since it uses less digits than its factorization.

13813410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13813410420 in words is "thirteen billion, eight hundred thirteen million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5881 11762 13049 17643 23524 26098 29405 35286 39147 52196 52929 58810 65245 70572 78294 88215 105858 117441 117620 130490 156588 176430 195735 211716 234882 260980 264645 352860 391470 469764 529290 587205 782940 1058580 1174410 2348820 76741169 153482338 230223507 306964676 383705845 460447014 690670521 767411690 920894028 1151117535 1381341042 1534823380 2302235070 2762682084 3453352605 4604470140 6906705210 13813410420