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19913870550016 = 21037237692
BaseRepresentation
bin1001000011100100011110…
…01011100010010000000000
32121111202011212201002222201
410201302033023202100000
510102232101330100031
6110204150021042544
74123505163541462
oct441621713422000
977452155632881
1019913870550016
116388474854513
122297536b56454
13b15b4032ab51
144cbb9d418132
1524801370dd61
hex121c8f2e2400

19913870550016 has 99 divisors (see below), whose sum is σ = 40924130257899. Its totient is φ = 9685258518528.

The previous prime is 19913870550011. The next prime is 19913870550061. The reversal of 19913870550016 is 61005507831991.

The square root of 19913870550016 is 4462496.

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 10521459942400 + 9392410607616 = 3243680^2 + 3064704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19913870550011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5283593380 + ... + 5283597148.

Almost surely, 219913870550016 is an apocalyptic number.

19913870550016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19913870550016 is the 4462496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19913870550016

19913870550016 is an abundant number, since it is smaller than the sum of its proper divisors (21010259707883).

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

19913870550016 is an frugal number, since it uses more digits than its factorization.

19913870550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 55.

The spelling of 19913870550016 in words is "nineteen trillion, nine hundred thirteen billion, eight hundred seventy million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2368 2738 3769 4736 5476 7538 9472 10952 15076 18944 21904 30152 37888 43808 60304 87616 120608 139453 175232 241216 278906 350464 482432 557812 700928 964864 1115624 1401856 1929728 2231248 3859456 4462496 5159761 8924992 10319522 14205361 17849984 20639044 28410722 35699968 41278088 56821444 71399936 82556176 113642888 142799872 165112352 227285776 330224704 454571552 525598357 660449408 909143104 1051196714 1320898816 1818286208 2102393428 2641797632 3636572416 4204786856 5283595264 7273144832 8409573712 14546289664 16819147424 19447139209 33638294848 38894278418 67276589696 77788556836 134553179392 155577113672 269106358784 311154227344 538212717568 622308454688 1244616909376 2489233818752 4978467637504 9956935275008 19913870550016