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11322816203648 = 27197673667211
BaseRepresentation
bin1010010011000100110001…
…1100000000101110000000
31111002110011112021221110002
42210301030130000232000
52441003111422004043
640025344023055132
72246021640506105
oct244611434005600
944073145257402
1011322816203648
113675a8561a764
12132a5302a14a8
1364197720bc81
142b2054a00aac
151497ebe6ebb8
hexa4c4c700b80

11322816203648 has 64 divisors (see below), whose sum is σ = 22705397835120. Its totient is φ = 5624292065280.

The previous prime is 11322816203641. The next prime is 11322816203707. The reversal of 11322816203648 is 84630261822311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322816203641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16636763 + ... + 17303973.

Almost surely, 211322816203648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322816203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352698917560).

11322816203648 is an abundant number, since it is smaller than the sum of its proper divisors (11382581631472).

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

11322816203648 is an equidigital number, since it uses as much as digits as its factorization.

11322816203648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668095 (or 668083 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 11322816203648 in words is "eleven trillion, three hundred twenty-two billion, eight hundred sixteen million, two hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 197 394 673 788 1346 1576 2692 3152 5384 6304 10768 12608 21536 25216 43072 86144 132581 265162 530324 667211 1060648 1334422 2121296 2668844 4242592 5337688 8485184 10675376 16970368 21350752 42701504 85403008 131440567 262881134 449033003 525762268 898066006 1051524536 1796132012 2103049072 3592264024 4206098144 7184528048 8412196288 14369056096 16824392576 28738112192 57476224384 88459501591 176919003182 353838006364 707676012728 1415352025456 2830704050912 5661408101824 11322816203648