Search a number
-
+
16198313751700 = 22528910303176651
BaseRepresentation
bin1110101110110111011010…
…1111001011010010010100
32010100112200100002012102021
43223231312233023102110
54110343121310023300
654241222544022524
73261201213053623
oct353556657132224
963315610065367
1016198313751700
115185736907333
121997412601a44
13906657364312
144000070976ba
151d154e2b5d1a
hexebb76bcb494

16198313751700 has 72 divisors (see below), whose sum is σ = 35548939722240. Its totient is φ = 6405866016000.

The previous prime is 16198313751679. The next prime is 16198313751707. The reversal of 16198313751700 is 715731389161.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16198313751707) 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, 91608375 + ... + 91785025.

It is an arithmetic number, because the mean of its divisors is an integer number (493735273920).

Almost surely, 216198313751700 is an apocalyptic number.

16198313751700 is a gapful number since it is divisible by the number (10) 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 16198313751700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774469861120).

16198313751700 is an abundant number, since it is smaller than the sum of its proper divisors (19350625970540).

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

16198313751700 is a wasteful number, since it uses less digits than its factorization.

16198313751700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187057 (or 187050 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 52.

The spelling of 16198313751700 in words is "sixteen trillion, one hundred ninety-eight billion, three hundred thirteen million, seven hundred fifty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 10303 20606 41212 51515 103030 176651 206060 257575 353302 515150 706604 883255 916967 1030300 1766510 1833934 3533020 3667868 4416275 4584835 8832550 9169670 15721939 17665100 18339340 22924175 31443878 45848350 62887756 78609695 91696700 157219390 314438780 393048475 786096950 1572193900 1820035253 3640070506 7280141012 9100176265 18200352530 36400705060 45500881325 91001762650 161983137517 182003525300 323966275034 647932550068 809915687585 1619831375170 3239662750340 4049578437925 8099156875850 16198313751700