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198635141340 = 223256171788539
BaseRepresentation
bin1011100011111110010…
…0111011100011011100
3200222201020001200101200
42320333210323203130
511223301044010330
6231130212235500
720231235562146
oct2707744734334
9628636050350
10198635141340
11772713a4739
12325b660bb90
13159676258bc
149884b19c96
155278721a60
hex2e3f93b8dc

198635141340 has 72 divisors (see below), whose sum is σ = 603503475120. Its totient is φ = 52883491584.

The previous prime is 198635141323. The next prime is 198635141351. The reversal of 198635141340 is 43141536891.

198635141340 is a `hidden beast` number, since 1 + 9 + 8 + 635 + 1 + 4 + 1 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783210 + ... + 1005329.

It is an arithmetic number, because the mean of its divisors is an integer number (8381992710).

Almost surely, 2198635141340 is an apocalyptic number.

198635141340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198635141340 is an abundant number, since it is smaller than the sum of its proper divisors (404868333780).

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

198635141340 is a wasteful number, since it uses less digits than its factorization.

198635141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789171 (or 1789166 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 198635141340 in words is "one hundred ninety-eight billion, six hundred thirty-five million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 617 1234 1851 2468 3085 3702 5553 6170 7404 9255 11106 12340 18510 22212 27765 37020 55530 111060 1788539 3577078 5365617 7154156 8942695 10731234 16096851 17885390 21462468 26828085 32193702 35770780 53656170 64387404 80484255 107312340 160968510 321937020 1103528563 2207057126 3310585689 4414114252 5517642815 6621171378 9931757067 11035285630 13242342756 16552928445 19863514134 22070571260 33105856890 39727028268 49658785335 66211713780 99317570670 198635141340