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16005074384 = 24131912913137
BaseRepresentation
bin11101110011111101…
…00000110111010000
31112022102101000112202
432321332200313100
5230234244340014
611204100142332
71104422613305
oct167176406720
945272330482
1016005074384
1168734a1302
1231280979a8
131680b41b20
14abb8d30ac
1563a1993de
hex3b9fa0dd0

16005074384 has 80 divisors (see below), whose sum is σ = 35191289280. Its totient is φ = 6990520320.

The previous prime is 16005074297. The next prime is 16005074387. The reversal of 16005074384 is 48347050061.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16005074387) 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 15 ways as a sum of consecutive naturals, for example, 5100464 + ... + 5103600.

It is an arithmetic number, because the mean of its divisors is an integer number (439891116).

Almost surely, 216005074384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16005074384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595644640).

16005074384 is an abundant number, since it is smaller than the sum of its proper divisors (19186214896).

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

16005074384 is a wasteful number, since it uses less digits than its factorization.

16005074384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 16005074384 in words is "sixteen billion, five million, seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1291 1976 2582 3137 3952 5164 6274 10328 12548 16783 20656 24529 25096 33566 40781 49058 50192 59603 67132 81562 98116 119206 134264 163124 196232 238412 268528 318877 326248 392464 476824 637754 652496 774839 953648 1275508 1549678 2551016 3099356 4049867 5102032 6198712 8099734 12397424 16199468 32398936 52648271 64797872 76947473 105296542 153894946 210593084 307789892 421186168 615579784 842372336 1000317149 1231159568 2000634298 4001268596 8002537192 16005074384