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1096267206656 = 2122029131909
BaseRepresentation
bin11111111001111101001…
…11100001000000000000
310212210122202011012220102
433330332213201000000
5120430123401103111
62155341310501532
7142126344336056
oct17747647410000
93783582135812
101096267206656
11392a19293116
121585698048a8
137c4ba64210b
143b0b982c1d6
151d7b2e0d13b
hexff3e9e1000

1096267206656 has 52 divisors (see below), whose sum is σ = 2193363864300. Its totient is φ = 547859300352.

The previous prime is 1096267206583. The next prime is 1096267206689. The reversal of 1096267206656 is 6566027626901.

It can be written as a sum of positive squares in 2 ways, for example, as 991187501056 + 105079705600 = 995584^2 + 324160^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8244830 + ... + 8376738.

Almost surely, 21096267206656 is an apocalyptic number.

1096267206656 is a gapful number since it is divisible by the number (16) 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 1096267206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096681932150).

1096267206656 is an abundant number, since it is smaller than the sum of its proper divisors (1097096657644).

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

1096267206656 is an equidigital number, since it uses as much as digits as its factorization.

1096267206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133962 (or 133940 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 1096267206656 in words is "one trillion, ninety-six billion, two hundred sixty-seven million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2029 2048 4058 4096 8116 16232 32464 64928 129856 131909 259712 263818 519424 527636 1038848 1055272 2077696 2110544 4155392 4221088 8310784 8442176 16884352 33768704 67537408 135074816 267643361 270149632 535286722 540299264 1070573444 2141146888 4282293776 8564587552 17129175104 34258350208 68516700416 137033400832 274066801664 548133603328 1096267206656