Search a number
-
+
1096433061248 = 27773162710303
BaseRepresentation
bin11111111010010001000…
…00001100110110000000
310212211002022020111122002
433331020200030312000
5120430443330424443
62155405553403132
7142133430151130
oct17751040146600
93784068214562
101096433061248
11392aa3974128
121585b52694a8
137c515b02625
143b0d3882ac0
151d7c27702b8
hexff4880cd80

1096433061248 has 128 divisors (see below), whose sum is σ = 2532340715520. Its totient is φ = 463133085696.

The previous prime is 1096433061233. The next prime is 1096433061253. The reversal of 1096433061248 is 8421603346901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106413665 + ... + 106423967.

It is an arithmetic number, because the mean of its divisors is an integer number (19783911840).

Almost surely, 21096433061248 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 1096433061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266170357760).

1096433061248 is an abundant number, since it is smaller than the sum of its proper divisors (1435907654272).

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

1096433061248 is a wasteful number, since it uses less digits than its factorization.

1096433061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 1096433061248 in words is "one trillion, ninety-six billion, four hundred thirty-three million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 1627 2044 2336 3254 4088 4672 6508 8176 9344 10303 11389 13016 16352 20606 22778 26032 32704 41212 45556 52064 65408 72121 82424 91112 104128 118771 144242 164848 182224 208256 237542 288484 329696 364448 475084 576968 659392 728896 752119 831397 950168 1153936 1318784 1457792 1504238 1662794 1900336 2307872 3008476 3325588 3800672 4615744 5264833 6016952 6651176 7601344 9231488 10529666 12033904 13302352 15202688 16762981 21059332 24067808 26604704 33525962 42118664 48135616 53209408 67051924 84237328 96271232 106418816 117340867 134103848 168474656 234681734 268207696 336949312 469363468 536415392 673898624 938726936 1072830784 1223697613 1877453872 2145661568 2447395226 3754907744 4894790452 7509815488 8565883291 9789580904 15019630976 17131766582 19579161808 34263533164 39158323616 68527066328 78316647232 137054132656 156633294464 274108265312 548216530624 1096433061248