Search a number
-
+
119648835204921 = 3411231323532
BaseRepresentation
bin11011001101000111101010…
…010100011111011100111001
3120200122022120001021010010000
4123031013222110133130321
5111140311303303024141
61102245525512343213
734126225450524651
oct3315075224373471
9520568501233100
10119648835204921
113513a871264100
12115048b49a4b09
13519bab5441cb9
14217906aa33361
15dc751a21c5b6
hex6cd1ea51f739

119648835204921 has 135 divisors (see below), whose sum is σ = 197650018147197. Its totient is φ = 72078002979840.

The previous prime is 119648835204883. The next prime is 119648835204923. The reversal of 119648835204921 is 129402538846911.

The square root of 119648835204921 is 10938411.

It is a perfect power (a square), and thus also a powerful number.

119648835204921 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 4 + 8 + 83 + 520 + 4 + 9 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61538706204921 + 58110129000000 = 7844661^2 + 7623000^2 .

It is not a de Polignac number, because 119648835204921 - 237 = 119511396251449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (119648835204923) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 338948541481 + ... + 338948541833.

Almost surely, 2119648835204921 is an apocalyptic number.

119648835204921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

119648835204921 is the 10938411-st square number.

119648835204921 is the 5469206-th centered octagonal number.

It is an amenable number.

119648835204921 is a deficient number, since it is larger than the sum of its proper divisors (78001182942276).

119648835204921 is an frugal number, since it uses more digits than its factorization.

119648835204921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 119648835204921 in words is "one hundred nineteen trillion, six hundred forty-eight billion, eight hundred thirty-five million, two hundred four thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 313 353 363 891 939 1059 1089 2817 3177 3267 3443 3883 8451 9531 9801 10329 11649 25353 28593 30987 34947 37873 42713 92961 97969 104841 110489 113619 124609 128139 278883 293907 314523 331467 340857 373827 384417 881721 994401 1022571 1077659 1121481 1153251 1215379 1370699 2645163 2983203 3067713 3232977 3364443 3459753 3646137 4112097 7935489 8949609 9698931 10093329 10938411 11854249 12336291 13369169 15077689 29096793 32815233 34583057 35562747 37008873 39002617 40107507 45233067 87290379 98445699 103749171 106688241 111026619 117007851 120322521 135699201 311247513 320064723 351023553 360967563 380413627 407097603 429028787 933742539 960194169 1053070659 1082902689 1141240881 1221292809 1287086361 2801227617 3159211977 3423722643 3861259083 4184549897 4719316657 10271167929 11583777249 12207819121 12553649691 14157949971 30813503787 34751331747 36623457363 37660949073 42473849913 109870372089 112982847219 127421549739 134286010331 329611116267 338948541657 382264649217 402858030993 988833348801 1208574092979 1477146113641 3625722278937 4431438340923 10877166836811 13294315022769 39882945068307 119648835204921