Search a number
-
+
133681608200 = 23527211145233
BaseRepresentation
bin111110010000000001…
…0110111011000001000
3110210001111112022122002
41330200002313120020
54142234442430300
6141225032450132
712441516630650
oct1744002673010
9423044468562
10133681608200
115176a867938
1221aa9849948
13c7b585901a
14668241d360
1537261955d5
hex1f200b7608

133681608200 has 96 divisors (see below), whose sum is σ = 355387253760. Its totient is φ = 45810969600.

The previous prime is 133681608133. The next prime is 133681608209. The reversal of 133681608200 is 2806186331.

It is not an unprimeable number, because it can be changed into a prime (133681608209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932784 + ... + 2978016.

It is an arithmetic number, because the mean of its divisors is an integer number (3701950560).

Almost surely, 2133681608200 is an apocalyptic number.

133681608200 is a gapful number since it is divisible by the number (10) 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 133681608200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177693626880).

133681608200 is an abundant number, since it is smaller than the sum of its proper divisors (221705645560).

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

133681608200 is a wasteful number, since it uses less digits than its factorization.

133681608200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47367 (or 47358 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 133681608200 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2111 4222 8444 10555 14777 16888 21110 29554 42220 45233 52775 59108 73885 84440 90466 105550 118216 147770 180932 211100 226165 295540 316631 361864 369425 422200 452330 591080 633262 738850 904660 1130825 1266524 1477700 1583155 1809320 2261650 2533048 2955400 3166310 4523300 6332620 7915775 9046600 12665240 15831550 31663100 63326200 95486863 190973726 381947452 477434315 668408041 763894904 954868630 1336816082 1909737260 2387171575 2673632164 3342040205 3819474520 4774343150 5347264328 6684080410 9548686300 13368160820 16710201025 19097372600 26736321640 33420402050 66840804100 133681608200