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16105349120 = 2135756171
BaseRepresentation
bin11101111111111010…
…00010000000000000
31112120102001111121212
432333331002000000
5230440432132440
611222041305252
71110051131420
oct167775020000
945512044555
1016105349120
116915060193
123155795228
1316988506a3
14acad56480
15643da5465
hex3bff42000

16105349120 has 112 divisors (see below), whose sum is σ = 44172762048. Its totient is φ = 5521735680.

The previous prime is 16105349101. The next prime is 16105349123. The reversal of 16105349120 is 2194350161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (16105349123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258635 + ... + 314805.

Almost surely, 216105349120 is an apocalyptic number.

16105349120 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 16105349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086381024).

16105349120 is an abundant number, since it is smaller than the sum of its proper divisors (28067412928).

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

16105349120 is an frugal number, since it uses more digits than its factorization.

16105349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56209 (or 56185 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 16105349120 its reverse (2194350161), we get a palindrome (18299699281).

The spelling of 16105349120 in words is "sixteen billion, one hundred five million, three hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 17920 20480 28672 35840 40960 56171 57344 71680 112342 143360 224684 280855 286720 393197 449368 561710 786394 898736 1123420 1572788 1797472 1965985 2246840 3145576 3594944 3931970 4493680 6291152 7189888 7863940 8987360 12582304 14379776 15727880 17974720 25164608 28759552 31455760 35949440 50329216 57519104 62911520 71898880 100658432 115038208 125823040 143797760 201316864 230076416 251646080 287595520 402633728 460152832 503292160 575191040 805267456 1006584320 1150382080 1610534912 2013168640 2300764160 3221069824 4026337280 8052674560 16105349120