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1097782640768 = 2711284192
BaseRepresentation
bin11111111100110001111…
…00011100000010000000
310212221120100201020200202
433332120330130002000
5120441224324001033
62200151523504332
7142212035325242
oct17763074340200
93787510636622
101097782640768
11393626755200
121589112280a8
137c69c5a94a8
143b1c0bcc092
151d850ea58e8
hexff98f1c080

1097782640768 has 72 divisors (see below), whose sum is σ = 2404165875615. Its totient is φ = 498932839680.

The previous prime is 1097782640729. The next prime is 1097782640777. The reversal of 1097782640768 is 8670462877901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 548891320384 + 548891320384 = 740872^2 + 740872^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=740872.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 130389263 + ... + 130397681.

Almost surely, 21097782640768 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 1097782640768

1097782640768 is an abundant number, since it is smaller than the sum of its proper divisors (1306383234847).

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

1097782640768 is an frugal number, since it uses more digits than its factorization.

1097782640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 65.

The spelling of 1097782640768 in words is "one trillion, ninety-seven billion, seven hundred eighty-two million, six hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 8419 15488 16838 33676 67352 92609 134704 185218 269408 370436 538816 740872 1018699 1077632 1481744 2037398 2963488 4074796 5926976 8149592 11853952 16299184 32598368 65196736 70879561 130393472 141759122 283518244 567036488 779675171 1134072976 1559350342 2268145952 3118700684 4536291904 6237401368 8576426881 9072583808 12474802736 17152853762 24949605472 34305707524 49899210944 68611415048 99798421888 137222830096 274445660192 548891320384 1097782640768