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3628197216 = 253271799701
BaseRepresentation
bin1101100001000001…
…1110010101100000
3100100212002111220200
43120100132111200
524412304302331
61400004505200
7155624111310
oct33020362540
910325074820
103628197216
1115a20282a6
128530ab200
1345a8a3677
14265c0d440
151637d15e6
hexd841e560

3628197216 has 72 divisors (see below), whose sum is σ = 11791647504. Its totient is φ = 1036627200.

The previous prime is 3628197211. The next prime is 3628197247. The reversal of 3628197216 is 6127918263.

3628197216 is a `hidden beast` number, since 3 + 628 + 1 + 9 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628197211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897835 + ... + 901866.

It is an arithmetic number, because the mean of its divisors is an integer number (163772882).

Almost surely, 23628197216 is an apocalyptic number.

3628197216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3628197216 is an abundant number, since it is smaller than the sum of its proper divisors (8163450288).

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

3628197216 is a wasteful number, since it uses less digits than its factorization.

3628197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799724 (or 1799713 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3628197216 is about 60234.5184757046. The cubic root of 3628197216 is about 1536.6099059021.

The spelling of 3628197216 in words is "three billion, six hundred twenty-eight million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1799701 3599402 5399103 7198804 10798206 12597907 14397608 16197309 21596412 25195814 28795216 32394618 37793721 43192824 50391628 57590432 64789236 75587442 86385648 100783256 113381163 129578472 151174884 172771296 201566512 226762326 259156944 302349768 403133024 453524652 518313888 604699536 907049304 1209399072 1814098608 3628197216