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16624492096 = 267122272
BaseRepresentation
bin11110111101110010…
…11001111001000000
31120220120220200220111
433132321121321000
5233021332221341
611345344321104
71125653564662
oct173671317100
946816820814
1016624492096
117061101a73
12327b613194
13174c278a94
14b39c92532
15674750681
hex3dee59e40

16624492096 has 63 divisors (see below), whose sum is σ = 33608459707. Its totient is φ = 8159070080.

The previous prime is 16624492091. The next prime is 16624492099. The reversal of 16624492096 is 69029442661.

The square root of 16624492096 is 128936.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×166244920963 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16624492091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73235535 + ... + 73235761.

Almost surely, 216624492096 is an apocalyptic number.

16624492096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16624492096 is the 128936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16624492096

16624492096 is an abundant number, since it is smaller than the sum of its proper divisors (16983967611).

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

16624492096 is an frugal number, since it uses more digits than its factorization.

16624492096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 16624492096 by its sum of digits (49), we get a square (814600112704 = 9025522).

The spelling of 16624492096 in words is "sixteen billion, six hundred twenty-four million, four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 142 227 284 454 568 908 1136 1816 2272 3632 4544 5041 7264 10082 14528 16117 20164 32234 40328 51529 64468 80656 103058 128936 161312 206116 257872 322624 412232 515744 824464 1031488 1144307 1648928 2288614 3297856 3658559 4577228 7317118 9154456 14634236 18308912 29268472 36617824 58536944 73235648 117073888 234147776 259757689 519515378 1039030756 2078061512 4156123024 8312246048 16624492096