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2048229127266 = 237219859426859
BaseRepresentation
bin11101110011100011111…
…110000011010001100010
321020210211121110100212220
4131303203332003101202
5232024233124033031
64204535442331510
7300660012215400
oct35634376032142
97223747410786
102048229127266
1171a715a43a53
12290b63959b96
1311b1bb4719ba
14711c5d2a470
153842c16e596
hex1dce3f83462

2048229127266 has 96 divisors (see below), whose sum is σ = 5021922528000. Its totient is φ = 553761175968.

The previous prime is 2048229127213. The next prime is 2048229127277. The reversal of 2048229127266 is 6627219228402.

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, 4584945 + ... + 5011803.

It is an arithmetic number, because the mean of its divisors is an integer number (52311693000).

Almost surely, 22048229127266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048229127266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510961264000).

2048229127266 is an abundant number, since it is smaller than the sum of its proper divisors (2973693400734).

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

2048229127266 is a wasteful number, since it uses less digits than its factorization.

2048229127266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427756 (or 427749 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2048229127266 in words is "two trillion, forty-eight billion, two hundred twenty-nine million, one hundred twenty-seven thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 859 931 1718 1862 2577 2793 5154 5586 6013 12026 16321 18039 32642 36078 42091 48963 84182 97926 114247 126273 228494 252546 342741 426859 685482 799729 853718 1280577 1599458 2399187 2561154 2988013 4798374 5976026 8110321 8964039 16220642 17928078 20916091 24330963 41832182 48661926 56772247 62748273 113544494 125496546 170316741 340633482 366671881 397405729 733343762 794811458 1100015643 1192217187 2200031286 2384434374 2566703167 5133406334 6966765739 7700109501 13933531478 15400219002 17966922169 20900297217 35933844338 41800594434 48767360173 53900766507 97534720346 107801533014 146302080519 292604161038 341371521211 682743042422 1024114563633 2048229127266