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196793664 = 2635383233
BaseRepresentation
bin10111011101011…
…01010101000000
3111201022011011020
423232231111000
5400334344124
631305545440
74606501314
oct1356552500
9451264136
10196793664
11a10a2aa1
1255aa5280
1331a03a72
141c1c9b44
1512424379
hexbbad540

196793664 has 112 divisors (see below), whose sum is σ = 539203392. Its totient is φ = 63311872.

The previous prime is 196793657. The next prime is 196793677. The reversal of 196793664 is 466397691.

196793664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 844492 + ... + 844724.

It is an arithmetic number, because the mean of its divisors is an integer number (4814316).

Almost surely, 2196793664 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 196793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696).

196793664 is an abundant number, since it is smaller than the sum of its proper divisors (342409728).

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

196793664 is a wasteful number, since it uses less digits than its factorization.

196793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 196793664 is about 14028.3165062669. The cubic root of 196793664 is about 581.6615691634.

The spelling of 196793664 in words is "one hundred ninety-six million, seven hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 83 96 106 159 166 192 212 233 249 318 332 424 466 498 636 664 699 848 932 996 1272 1328 1398 1696 1864 1992 2544 2656 2796 3392 3728 3984 4399 5088 5312 5592 7456 7968 8798 10176 11184 12349 13197 14912 15936 17596 19339 22368 24698 26394 35192 37047 38678 44736 49396 52788 58017 70384 74094 77356 98792 105576 116034 140768 148188 154712 197584 211152 232068 281536 296376 309424 395168 422304 464136 592752 618848 790336 844608 928272 1024967 1185504 1237696 1856544 2049934 2371008 3074901 3713088 4099868 6149802 8199736 12299604 16399472 24599208 32798944 49198416 65597888 98396832 196793664