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16387210368 = 273214225009
BaseRepresentation
bin11110100001100000…
…01111110010000000
31120022001102112120100
433100300033302000
5232030111212433
611310030442400
71120042663344
oct172060176200
946261375510
1016387210368
116a4a175771
123214063400
13171206a2a9
14b16567624
1565d9ceb13
hex3d0c0fc80

16387210368 has 48 divisors (see below), whose sum is σ = 47155908150. Its totient is φ = 5462403072.

The previous prime is 16387210313. The next prime is 16387210387. The reversal of 16387210368 is 86301278361.

16387210368 is a `hidden beast` number, since 1 + 638 + 7 + 2 + 1 + 0 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15497262144 + 889948224 = 124488^2 + 29832^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7111353 + ... + 7113656.

Almost surely, 216387210368 is an apocalyptic number.

16387210368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16387210368 is an abundant number, since it is smaller than the sum of its proper divisors (30768697782).

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

16387210368 is a wasteful number, since it uses less digits than its factorization.

16387210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14225029 (or 14225014 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16387210368 in words is "sixteen billion, three hundred eighty-seven million, two hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14225009 28450018 42675027 56900036 85350054 113800072 128025081 170700108 227600144 256050162 341400216 455200288 512100324 682800432 910400576 1024200648 1365600864 1820801152 2048401296 2731201728 4096802592 5462403456 8193605184 16387210368