Search a number
-
+
16034662656 = 283210916379
BaseRepresentation
bin11101110111011110…
…11000100100000000
31112101111001021000200
432323233120210000
5230314333201111
611211034245200
71105232245425
oct167357304400
945344037020
1016034662656
116889170421
123135b86800
13168700158c
14ac17d5d4c
1563ca91256
hex3bbbd8900

16034662656 has 108 divisors (see below), whose sum is σ = 46281515280. Its totient is φ = 5339151360.

The previous prime is 16034662639. The next prime is 16034662717. The reversal of 16034662656 is 65626643061.

16034662656 is a `hidden beast` number, since 16 + 0 + 3 + 4 + 6 + 626 + 5 + 6 = 666.

16034662656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160346626562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2510475 + ... + 2516853.

Almost surely, 216034662656 is an apocalyptic number.

16034662656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16034662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140757640).

16034662656 is an abundant number, since it is smaller than the sum of its proper divisors (30246852624).

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

16034662656 is a wasteful number, since it uses less digits than its factorization.

16034662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 16034662656 in words is "sixteen billion, thirty-four million, six hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1091 1152 2182 2304 3273 4364 6379 6546 8728 9819 12758 13092 17456 19137 19638 25516 26184 34912 38274 39276 51032 52368 57411 69824 76548 78552 102064 104736 114822 139648 153096 157104 204128 209472 229644 279296 306192 314208 408256 418944 459288 612384 628416 816512 837888 918576 1224768 1256832 1633024 1837152 2449536 2513664 3674304 4899072 6959489 7348608 13918978 14697216 20878467 27837956 41756934 55675912 62635401 83513868 111351824 125270802 167027736 222703648 250541604 334055472 445407296 501083208 668110944 890814592 1002166416 1336221888 1781629184 2004332832 2672443776 4008665664 5344887552 8017331328 16034662656