Search a number
-
+
133354606080 = 2935100917209
BaseRepresentation
bin111110000110010001…
…1011100111000000000
3110202012201012220001110
41330030203130320000
54141102234343310
6141132352003320
712430436310003
oct1741443347000
9422181186043
10133354606080
1151612220353
1221a18230540
13c762b95947
146650c1b53a
153707600d20
hex1f0c8dce00

133354606080 has 160 divisors (see below), whose sum is σ = 426765319200. Its totient is φ = 35523919872.

The previous prime is 133354606051. The next prime is 133354606103. The reversal of 133354606080 is 80606453331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 7740516 + ... + 7757724.

It is an arithmetic number, because the mean of its divisors is an integer number (2667283245).

Almost surely, 2133354606080 is an apocalyptic number.

133354606080 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 133354606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213382659600).

133354606080 is an abundant number, since it is smaller than the sum of its proper divisors (293410713120).

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

133354606080 is a wasteful number, since it uses less digits than its factorization.

133354606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18244 (or 18228 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 133354606080 in words is "one hundred thirty-three billion, three hundred fifty-four million, six hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1009 1280 1536 1920 2018 2560 3027 3840 4036 5045 6054 7680 8072 10090 12108 15135 16144 17209 20180 24216 30270 32288 34418 40360 48432 51627 60540 64576 68836 80720 86045 96864 103254 121080 129152 137672 161440 172090 193728 206508 242160 258135 258304 275344 322880 344180 387456 413016 484320 516270 516608 550688 645760 688360 774912 826032 968640 1032540 1101376 1291520 1376720 1549824 1652064 1937280 2065080 2202752 2583040 2753440 3304128 3874560 4130160 4405504 5506880 6608256 7749120 8260320 8811008 11013760 13216512 16520640 17363881 22027520 26433024 33041280 34727762 44055040 52091643 66082560 69455524 86819405 104183286 132165120 138911048 173638810 208366572 260458215 277822096 347277620 416733144 520916430 555644192 694555240 833466288 1041832860 1111288384 1389110480 1666932576 2083665720 2222576768 2778220960 3333865152 4167331440 4445153536 5556441920 6667730304 8334662880 8890307072 11112883840 13335460608 16669325760 22225767680 26670921216 33338651520 44451535360 66677303040 133354606080