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10745709984 = 2532271113763
BaseRepresentation
bin10100000000111111…
…01000010110100000
31000201212221121220200
422000133220112200
5134001400204414
64534141505200
7530201012352
oct120037502640
930655847820
1010745709984
114614744a59
1220ba872200
131023342399
1473d1d90d2
1542d5ae109
hex2807e85a0

10745709984 has 72 divisors (see below), whose sum is σ = 30571605792. Its totient is φ = 3580321920.

The previous prime is 10745709983. The next prime is 10745710007. The reversal of 10745709984 is 48990754701.

10745709984 is a `hidden beast` number, since 107 + 457 + 0 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10745709984.

It is not an unprimeable number, because it can be changed into a prime (10745709983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773887 + ... + 787649.

It is an arithmetic number, because the mean of its divisors is an integer number (424605636).

Almost surely, 210745709984 is an apocalyptic number.

It is an amenable number.

10745709984 is an abundant number, since it is smaller than the sum of its proper divisors (19825895808).

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

10745709984 is a wasteful number, since it uses less digits than its factorization.

10745709984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16490 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10745709984 in words is "ten billion, seven hundred forty-five million, seven hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2711 5422 8133 10844 13763 16266 21688 24399 27526 32532 41289 43376 48798 55052 65064 82578 86752 97596 110104 123867 130128 165156 195192 220208 247734 260256 330312 390384 440416 495468 660624 780768 990936 1321248 1981872 3963744 37311493 74622986 111934479 149245972 223868958 298491944 335803437 447737916 596983888 671606874 895475832 1193967776 1343213748 1790951664 2686427496 3581903328 5372854992 10745709984