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16168420160 = 265317159389
BaseRepresentation
bin11110000111011011…
…01000001101000000
31112201210201211211022
433003231220031000
5231103103421120
611232213205012
71111445206124
oct170355501500
945653654738
1016168420160
116947719412
123172930768
1316a8934429
14ad5493584
156496b3025
hex3c3b68340

16168420160 has 56 divisors (see below), whose sum is σ = 38622747240. Its totient is φ = 6446925824.

The previous prime is 16168420097. The next prime is 16168420181. The reversal of 16168420160 is 6102486161.

It can be written as a sum of positive squares in 4 ways, for example, as 1370184256 + 14798235904 = 37016^2 + 121648^2 .

It is a super-2 number, since 2×161684201602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16168420160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21746 + ... + 181134.

It is an arithmetic number, because the mean of its divisors is an integer number (689691915).

Almost surely, 216168420160 is an apocalyptic number.

16168420160 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 16168420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311373620).

16168420160 is an abundant number, since it is smaller than the sum of its proper divisors (22454327080).

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

16168420160 is a wasteful number, since it uses less digits than its factorization.

16168420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159723 (or 159713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 16168420160 in words is "sixteen billion, one hundred sixty-eight million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 10144 12680 20288 25360 50720 101440 159389 318778 637556 796945 1275112 1593890 2550224 3187780 5100448 6375560 10200896 12751120 25502240 50526313 51004480 101052626 202105252 252631565 404210504 505263130 808421008 1010526260 1616842016 2021052520 3233684032 4042105040 8084210080 16168420160