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16420096100 = 2252434338819
BaseRepresentation
bin11110100101011011…
…01100100001100100
31120101100022022022102
433102231230201210
5232112021033400
611313203351232
71120622341202
oct172255544144
946340268272
1016420096100
116a66797261
123223082518
131718b128c5
14b1aa88072
156618289d5
hex3d2b6c864

16420096100 has 72 divisors (see below), whose sum is σ = 36548598240. Its totient is φ = 6399751680.

The previous prime is 16420095997. The next prime is 16420096111. The reversal of 16420096100 is 169002461.

16420096100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857491 + ... + 1866309.

It is an arithmetic number, because the mean of its divisors is an integer number (507619420).

Almost surely, 216420096100 is an apocalyptic number.

16420096100 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 16420096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18274299120).

16420096100 is an abundant number, since it is smaller than the sum of its proper divisors (20128502140).

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

16420096100 is a wasteful number, since it uses less digits than its factorization.

16420096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 16420096100 its reverse (169002461), we get a palindrome (16589098561).

The spelling of 16420096100 in words is "sixteen billion, four hundred twenty million, ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 433 860 866 1075 1732 2150 2165 4300 4330 8660 8819 10825 17638 18619 21650 35276 37238 43300 44095 74476 88190 93095 176380 186190 220475 372380 379217 440950 465475 758434 881900 930950 1516868 1861900 1896085 3792170 3818627 7584340 7637254 9480425 15274508 18960850 19093135 37921700 38186270 76372540 95465675 164200961 190931350 328401922 381862700 656803844 821004805 1642009610 3284019220 4105024025 8210048050 16420096100