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13713353216 = 29377091021
BaseRepresentation
bin11001100010110000…
…10010101000000000
31022101201002112002222
430301120102220000
5211041104300331
610144432430212
7663554402423
oct146130225000
938351075088
1013713353216
1158a7915272
1227a86a8368
1313a7107cb4
149413bb9ba
15553db0b7b
hex331612a00

13713353216 has 80 divisors (see below), whose sum is σ = 28207751880. Its totient is φ = 6655426560.

The previous prime is 13713353197. The next prime is 13713353249. The reversal of 13713353216 is 61235331731.

It can be written as a sum of positive squares in 4 ways, for example, as 12276640000 + 1436713216 = 110800^2 + 37904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13430786 + ... + 13431806.

Almost surely, 213713353216 is an apocalyptic number.

13713353216 is a gapful number since it is divisible by the number (16) 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 13713353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103875940).

13713353216 is an abundant number, since it is smaller than the sum of its proper divisors (14494398664).

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

13713353216 is an equidigital number, since it uses as much as digits as its factorization.

13713353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its digits is 34020, while the sum is 35.

Adding to 13713353216 its reverse (61235331731), we get a palindrome (74948684947).

The spelling of 13713353216 in words is "thirteen billion, seven hundred thirteen million, three hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 709 1021 1184 1418 2042 2368 2836 4084 4736 5672 8168 9472 11344 16336 18944 22688 26233 32672 37777 45376 52466 65344 75554 90752 104932 130688 151108 181504 209864 261376 302216 363008 419728 522752 604432 723889 839456 1208864 1447778 1678912 2417728 2895556 3357824 4835456 5791112 6715648 9670912 11582224 13431296 19341824 23164448 26783893 46328896 53567786 92657792 107135572 185315584 214271144 370631168 428542288 857084576 1714169152 3428338304 6856676608 13713353216