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2009675226000 = 243531325765067
BaseRepresentation
bin11101001111101001111…
…110100101101110010000
321010010022201111020220210
4131033221332211232100
5230411303324213000
64135122042404120
7265123424366031
oct35175176455620
97103281436823
102009675226000
11705331300332
122855a4200640
13117685b8b680
146d3a9830a88
15374225d6350
hex1d3e9fa5b90

2009675226000 has 160 divisors (see below), whose sum is σ = 6977592655488. Its totient is φ = 494689267200.

The previous prime is 2009675225953. The next prime is 2009675226011. The reversal of 2009675226000 is 6225769002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2009675226000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12804534 + ... + 12960533.

Almost surely, 22009675226000 is an apocalyptic number.

2009675226000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009675226000 is an abundant number, since it is smaller than the sum of its proper divisors (4967917429488).

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

2009675226000 is a wasteful number, since it uses less digits than its factorization.

2009675226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25765106 (or 25765090 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 2009675226000 in words is "two trillion, nine billion, six hundred seventy-five million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 25765067 51530134 77295201 103060268 128825335 154590402 206120536 257650670 309180804 334945871 386476005 412241072 515301340 618361608 644126675 669891742 772952010 1004837613 1030602680 1236723216 1288253350 1339783484 1545904020 1674729355 1932380025 2009675226 2061205360 2576506700 2679566968 3091808040 3220633375 3349458710 3864760050 4019350452 5024188065 5153013400 5359133936 6183616080 6441266750 6698917420 7729520100 8038700904 8373646775 9661900125 10048376130 10306026800 12882533500 13397834840 15459040200 16077401808 16747293550 19323800250 20096752260 25120940325 25765067000 26795669680 30918080400 33494587100 38647600500 40193504520 41868233875 50241880650 51530134000 66989174200 77295201000 80387009040 83736467750 100483761300 125604701625 133978348400 154590402000 167472935500 200967522600 251209403250 334945871000 401935045200 502418806500 669891742000 1004837613000 2009675226000