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195669864 = 233313174099
BaseRepresentation
bin10111010100110…
…10111101101000
3111122012001121000
423222122331220
5400042413424
631225515000
74564111035
oct1352327550
9448161530
10195669864
11a04a5735
1255642a60
13316cc3b0
141bdb638c
15122a13c9
hexba9af68

195669864 has 128 divisors (see below), whose sum is σ = 619920000. Its totient is φ = 56650752.

The previous prime is 195669841. The next prime is 195669871. The reversal of 195669864 is 468966591.

It is a happy number.

195669864 is a `hidden beast` number, since 19 + 566 + 9 + 8 + 64 = 666.

It is a super-3 number, since 3×1956698643 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 195669864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45687 + ... + 49785.

It is an arithmetic number, because the mean of its divisors is an integer number (4843125).

Almost surely, 2195669864 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 195669864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309960000).

195669864 is an abundant number, since it is smaller than the sum of its proper divisors (424250136).

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

195669864 is a wasteful number, since it uses less digits than its factorization.

195669864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4134 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 195669864 is about 13988.2044594723. The cubic root of 195669864 is about 580.5522524391.

The spelling of 195669864 in words is "one hundred ninety-five million, six hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 4099 5304 5967 7956 8198 11934 12297 15912 16396 23868 24594 32792 36891 47736 49188 53287 69683 73782 98376 106574 110673 139366 147564 159861 209049 213148 221346 278732 295128 319722 418098 426296 442692 479583 557464 627147 639444 836196 885384 905879 959166 1254294 1278888 1438749 1672392 1811758 1881441 1918332 2508588 2717637 2877498 3623516 3762882 3836664 5017176 5435274 5754996 7247032 7525764 8152911 10870548 11509992 15051528 16305822 21741096 24458733 32611644 48917466 65223288 97834932 195669864