Search a number
-
+
209538011340 = 2232571481112289
BaseRepresentation
bin1100001100100101110…
…0000101000011001100
3202000212001201212022200
43003021130011003030
511413113212330330
6240132130441500
721065355465150
oct3031134050314
9660761655280
10209538011340
11809568212a9
1234739a33290
13169b43a2b78
14a1dab45060
1556b59c6a60
hex30c97050cc

209538011340 has 144 divisors (see below), whose sum is σ = 726895391040. Its totient is φ = 47861637120.

The previous prime is 209538011339. The next prime is 209538011399. The reversal of 209538011340 is 43110835902.

209538011340 is a `hidden beast` number, since 2 + 0 + 9 + 538 + 0 + 113 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 209538011295 and 209538011304.

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, 1809916 + ... + 1922204.

It is an arithmetic number, because the mean of its divisors is an integer number (5047884660).

Almost surely, 2209538011340 is an apocalyptic number.

209538011340 is a gapful number since it is divisible by the number (20) 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 209538011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363447695520).

209538011340 is an abundant number, since it is smaller than the sum of its proper divisors (517357379700).

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

209538011340 is a wasteful number, since it uses less digits than its factorization.

209538011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113792 (or 113787 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 209538011340 in words is "two hundred nine billion, five hundred thirty-eight million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1481 2962 4443 5924 7405 8886 10367 13329 14810 17772 20734 22215 26658 29620 31101 41468 44430 51835 53316 62202 66645 88860 93303 103670 112289 124404 133290 155505 186606 207340 224578 266580 311010 336867 373212 449156 466515 561445 622020 673734 786023 933030 1010601 1122890 1347468 1572046 1684335 1866060 2021202 2245780 2358069 3144092 3368670 3930115 4042404 4716138 5053005 6737340 7074207 7860230 9432276 10106010 11790345 14148414 15720460 20212020 23580690 28296828 35371035 47161380 70742070 141484140 166300009 332600018 498900027 665200036 831500045 997800054 1164100063 1496700081 1663000090 1995600108 2328200126 2494500135 2993400162 3326000180 3492300189 4656400252 4989000270 5820500315 5986800324 6984600378 7483500405 9978000540 10476900567 11641000630 13969200756 14967000810 17461500945 20953801134 23282001260 29934001620 34923001890 41907602268 52384502835 69846003780 104769005670 209538011340