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16345963296 = 253413485101
BaseRepresentation
bin11110011100100101…
…11001101100100000
31120012011210222020000
433032102321230200
5231434031311141
611301554420000
71116032252445
oct171622715440
946164728200
1016345963296
116a28963183
123202291600
131706657c40
14b10cab9cc
1565a0835b6
hex3ce4b9b20

16345963296 has 120 divisors (see below), whose sum is σ = 51771055644. Its totient is φ = 5029516800.

The previous prime is 16345963289. The next prime is 16345963307. The reversal of 16345963296 is 69236954361.

16345963296 is a `hidden beast` number, since 1 + 6 + 345 + 9 + 6 + 3 + 296 = 666.

16345963296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16342042896 + 3920400 = 127836^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 208855 + ... + 276246.

Almost surely, 216345963296 is an apocalyptic number.

16345963296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16345963296 is an abundant number, since it is smaller than the sum of its proper divisors (35425092348).

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

16345963296 is a wasteful number, since it uses less digits than its factorization.

16345963296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485136 (or 485119 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 16345963296 in words is "sixteen billion, three hundred forty-five million, nine hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 485101 970202 1455303 1940404 2910606 3880808 4365909 5821212 6306313 7761616 8731818 11642424 12612626 13097727 15523232 17463636 18918939 23284848 25225252 26195454 34927272 37837878 39293181 46569696 50450504 52390908 56756817 69854544 75675756 78586362 100901008 104781816 113513634 139709088 151351512 157172724 170270451 201802016 209563632 227027268 302703024 314345448 340540902 419127264 454054536 510811353 605406048 628690896 681081804 908109072 1021622706 1257381792 1362163608 1816218144 2043245412 2724327216 4086490824 5448654432 8172981648 16345963296