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16005194688 = 263728514177
BaseRepresentation
bin11101110011111101…
…11110001111000000
31112022102121010120110
432321332332033000
5230234312212223
611204102511320
71104423624120
oct167176761700
945272533513
1016005194688
11687357372a
123128135540
131680b84802
14abb924c80
1563a1bed93
hex3b9fbe3c0

16005194688 has 112 divisors (see below), whose sum is σ = 48425225984. Its totient is φ = 4570214400.

The previous prime is 16005194687. The next prime is 16005194707. The reversal of 16005194688 is 88649150061.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16005194687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829656 + ... + 3833832.

Almost surely, 216005194688 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 16005194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212612992).

16005194688 is an abundant number, since it is smaller than the sum of its proper divisors (32420031296).

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

16005194688 is a wasteful number, since it uses less digits than its factorization.

16005194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 16005194688 in words is "sixteen billion, five million, one hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2851 4177 5702 8354 8553 11404 12531 16708 17106 19957 22808 25062 29239 33416 34212 39914 45616 50124 58478 59871 66832 68424 79828 87717 91232 100248 116956 119742 133664 136848 159656 175434 182464 200496 233912 239484 267328 273696 319312 350868 400992 467824 478968 547392 638624 701736 801984 935648 957936 1277248 1403472 1871296 1915872 2806944 3831744 5613888 11908627 23817254 35725881 47634508 71451762 83360389 95269016 142903524 166720778 190538032 250081167 285807048 333441556 381076064 500162334 571614096 666883112 762152128 1000324668 1143228192 1333766224 2000649336 2286456384 2667532448 4001298672 5335064896 8002597344 16005194688