Search a number
-
+
19717187683216 = 24557219932
BaseRepresentation
bin1000111101110110000111…
…11101111100001110010000
32120210221111201012020210111
410132323003331330032100
510041021300021330331
6105533541224411104
74103343202005652
oct436730375741620
976727451166714
1019717187683216
11631201546a611
1222653a6316a94
13b0042730c5aa
144c2461ad26d2
15242d515c3db1
hex11eec3f7c390

19717187683216 has 45 divisors (see below), whose sum is σ = 38289971863731. Its totient is φ = 9835956662016.

The previous prime is 19717187683163. The next prime is 19717187683223. The reversal of 19717187683216 is 61238678171791.

The square root of 19717187683216 is 4440404.

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 1146604073616 + 18570583609600 = 1070796^2 + 4309360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9893219116 + ... + 9893221108.

Almost surely, 219717187683216 is an apocalyptic number.

19717187683216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19717187683216 is the 4440404-th square number.

It is an amenable number.

19717187683216 is a deficient number, since it is larger than the sum of its proper divisors (18572784180515).

19717187683216 is an frugal number, since it uses more digits than its factorization.

19717187683216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 2552 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 67.

The spelling of 19717187683216 in words is "nineteen trillion, seven hundred seventeen billion, one hundred eighty-seven million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 557 1114 1993 2228 3986 4456 7972 8912 15944 31888 310249 620498 1110101 1240996 2220202 2481992 3972049 4440404 4963984 7944098 8880808 15888196 17761616 31776392 63552784 618326257 1236652514 2212431293 2473305028 4424862586 4946610056 8849725172 9893220112 17699450344 35398900688 1232324230201 2464648460402 4929296920804 9858593841608 19717187683216