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209636748112 = 241112725933617
BaseRepresentation
bin1100001100111101010…
…0101110101101010000
3202001002221112012201011
43003033110232231100
511413314001414422
6240150015020304
721100664646361
oct3031724565520
9661087465634
10209636748112
11809a752a740
1234766b0a694
13169cb9936ac
14a209cc7b68
1556be4cc077
hex30cf52eb50

209636748112 has 80 divisors (see below), whose sum is σ = 446880540672. Its totient is φ = 94476533760.

The previous prime is 209636748091. The next prime is 209636748119. The reversal of 209636748112 is 211847636902.

It is a happy number.

209636748112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209636748119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57956928 + ... + 57960544.

Almost surely, 2209636748112 is an apocalyptic number.

209636748112 is a gapful number since it is divisible by the number (22) 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 209636748112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223440270336).

209636748112 is an abundant number, since it is smaller than the sum of its proper divisors (237243792560).

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

209636748112 is a wasteful number, since it uses less digits than its factorization.

209636748112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 209636748112 in words is "two hundred nine billion, six hundred thirty-six million, seven hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 2032 2593 2794 3617 5186 5588 7234 10372 11176 14468 20744 22352 28523 28936 39787 41488 57046 57872 79574 114092 159148 228184 318296 329311 456368 459359 636592 658622 918718 1317244 1837436 2634488 3622421 3674872 5052949 5268976 7244842 7349744 9378881 10105898 14489684 18757762 20211796 28979368 37515524 40423592 57958736 75031048 80847184 103167691 150062096 206335382 412670764 825341528 1191117887 1650683056 2382235774 4764471548 9528943096 13102296757 19057886192 26204593514 52409187028 104818374056 209636748112