Search a number
-
+
133568353974 = 231122367119389
BaseRepresentation
bin111110001100101001…
…0110101011010110110
3110202202121102102001010
41330121102311122312
54142021444311344
6141205505213050
712435643163466
oct1743122653266
9422677372033
10133568353974
1151711943300
1221a77931186
13c7982546a3
14667137bba6
15371b2738b9
hex1f194b56b6

133568353974 has 96 divisors (see below), whose sum is σ = 310971790080. Its totient is φ = 38137302720.

The previous prime is 133568353879. The next prime is 133568354027. The reversal of 133568353974 is 479353865331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059072 + ... + 1178460.

It is an arithmetic number, because the mean of its divisors is an integer number (3239289480).

Almost surely, 2133568353974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133568353974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155485895040).

133568353974 is an abundant number, since it is smaller than the sum of its proper divisors (177403436106).

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

133568353974 is a wasteful number, since it uses less digits than its factorization.

133568353974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119506 (or 119495 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

The spelling of 133568353974 in words is "one hundred thirty-three billion, five hundred sixty-eight million, three hundred fifty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 67 69 121 134 138 201 242 253 363 402 506 726 737 759 1474 1518 1541 2211 2783 3082 4422 4623 5566 8107 8349 9246 16214 16698 16951 24321 33902 48642 50853 101706 119389 186461 238778 358167 372922 559383 716334 1118766 1313279 2626558 2745947 3939837 5491894 7879674 7999063 8237841 14446069 15998126 16475682 23997189 28892138 30205417 43338207 47994378 60410834 86676414 87989693 90616251 175979386 181232502 183978449 263969079 332259587 367956898 527938158 551935347 664519174 967886623 996778761 1103870694 1935773246 1993557522 2023762939 2903659869 4047525878 5807319738 6071288817 12142577634 22261392329 44522784658 66784176987 133568353974