Search a number
-
+
16696131264 = 263383116411
BaseRepresentation
bin11111000110010101…
…01011111011000000
31121002120201100101000
433203022223323000
5233143202200024
611400424012000
71130513526351
oct174312537300
947076640330
1016696131264
11709859259a
12329b601000
13176106c717
14b455bdd28
1567aba1cc9
hex3e32abec0

16696131264 has 112 divisors (see below), whose sum is σ = 49675328640. Its totient is φ = 5498277120.

The previous prime is 16696131251. The next prime is 16696131293. The reversal of 16696131264 is 46213169661.

16696131264 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 613 + 1 + 26 + 4 = 666.

It is a super-3 number, since 3×166961312643 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85219 + ... + 201629.

It is an arithmetic number, because the mean of its divisors is an integer number (443529720).

Almost surely, 216696131264 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 16696131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837664320).

16696131264 is an abundant number, since it is smaller than the sum of its proper divisors (32979197376).

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

16696131264 is a wasteful number, since it uses less digits than its factorization.

16696131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116515 (or 116499 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 16696131264 in words is "sixteen billion, six hundred ninety-six million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5976 7968 8964 11952 15936 17928 23904 35856 47808 71712 116411 143424 232822 349233 465644 698466 931288 1047699 1396932 1862576 2095398 2793864 3143097 3725152 4190796 5587728 6286194 7450304 8381592 9662113 11175456 12572388 16763184 19324226 22350912 25144776 28986339 33526368 38648452 50289552 57972678 67052736 77296904 86959017 100579104 115945356 154593808 173918034 201158208 231890712 260877051 309187616 347836068 463781424 521754102 618375232 695672136 927562848 1043508204 1391344272 1855125696 2087016408 2782688544 4174032816 5565377088 8348065632 16696131264