Search a number
-
+
16466702304 = 2531323955207
BaseRepresentation
bin11110101010111110…
…11110111111100000
31120111121000011000010
433111133132333200
5232210433433204
611321550324520
71122026442303
oct172537367740
946447004003
1016466702304
116a9002a188
1232367b9740
131725680340
14b22d3ab3a
15665982d89
hex3d57defe0

16466702304 has 96 divisors (see below), whose sum is σ = 46745717760. Its totient is φ = 5045386752.

The previous prime is 16466702297. The next prime is 16466702323. The reversal of 16466702304 is 40320766461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270669 + ... + 325875.

It is an arithmetic number, because the mean of its divisors is an integer number (486934560).

Almost surely, 216466702304 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 16466702304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372858880).

16466702304 is an abundant number, since it is smaller than the sum of its proper divisors (30279015456).

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

16466702304 is a wasteful number, since it uses less digits than its factorization.

16466702304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55472 (or 55464 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 16466702304 in words is "sixteen billion, four hundred sixty-six million, seven hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 239 312 416 478 624 717 956 1248 1434 1912 2868 3107 3824 5736 6214 7648 9321 11472 12428 18642 22944 24856 37284 49712 55207 74568 99424 110414 149136 165621 220828 298272 331242 441656 662484 717691 883312 1324968 1435382 1766624 2153073 2649936 2870764 4306146 5299872 5741528 8612292 11483056 13194473 17224584 22966112 26388946 34449168 39583419 52777892 68898336 79166838 105555784 158333676 171528149 211111568 316667352 343056298 422223136 514584447 633334704 686112596 1029168894 1266669408 1372225192 2058337788 2744450384 4116675576 5488900768 8233351152 16466702304