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199557696 = 26313174703
BaseRepresentation
bin10111110010100…
…00001001000000
3111220111120200210
423321100021000
5402041321241
631445114120
74642132602
oct1371201100
9456446623
10199557696
11a2710718
12569b8940
1332460ba0
141c709172
15127bd316
hexbe50240

199557696 has 112 divisors (see below), whose sum is σ = 602187264. Its totient is φ = 57778176.

The previous prime is 199557623. The next prime is 199557697. The reversal of 199557696 is 696755991.

It is not an unprimeable number, because it can be changed into a prime (199557697) 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, 40081 + ... + 44783.

It is an arithmetic number, because the mean of its divisors is an integer number (5376672).

Almost surely, 2199557696 is an apocalyptic number.

199557696 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 199557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301093632).

199557696 is an abundant number, since it is smaller than the sum of its proper divisors (402629568).

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

199557696 is a wasteful number, since it uses less digits than its factorization.

199557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4738 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 57.

The square root of 199557696 is about 14126.4891604390. The cubic root of 199557696 is about 584.3721278744.

The spelling of 199557696 in words is "one hundred ninety-nine million, five hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 4703 5304 7072 9406 10608 14109 14144 18812 21216 28218 37624 42432 56436 61139 75248 79951 112872 122278 150496 159902 183417 225744 239853 244556 300992 319804 366834 451488 479706 489112 639608 733668 902976 959412 978224 1039363 1279216 1467336 1918824 1956448 2078726 2558432 2934672 3118089 3837648 3912896 4157452 5116864 5869344 6236178 7675296 8314904 11738688 12472356 15350592 16629808 24944712 33259616 49889424 66519232 99778848 199557696