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10753012544 = 26293832
BaseRepresentation
bin10100000001110110…
…11111001101000000
31000202101200122010212
422000323133031000
5134010232400134
64535002213252
7530320045541
oct120073371500
930671618125
1010753012544
11461888252a
1221011b4228
1310249cb221
1474017a4c8
1542e052bce
hex280edf340

10753012544 has 84 divisors (see below), whose sum is σ = 22369523460. Its totient is φ = 5128566016.

The previous prime is 10753012531. The next prime is 10753012549. The reversal of 10753012544 is 44521035701.

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 2 ways, for example, as 1862785600 + 8890226944 = 43160^2 + 94288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10753012544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753012549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129554327 + ... + 129554409.

Almost surely, 210753012544 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 10753012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184761730).

10753012544 is an abundant number, since it is smaller than the sum of its proper divisors (11616510916).

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

10753012544 is an frugal number, since it uses more digits than its factorization.

10753012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 10753012544 in words is "ten billion, seven hundred fifty-three million, twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 166 232 332 464 664 841 928 1328 1682 1856 2407 2656 3364 4814 5312 6728 6889 9628 13456 13778 19256 24389 26912 27556 38512 48778 53824 55112 69803 77024 97556 110224 139606 154048 195112 199781 220448 279212 390224 399562 440896 558424 780448 799124 1116848 1560896 1598248 2024287 2233696 3196496 4048574 4467392 5793649 6392992 8097148 11587298 12785984 16194296 23174596 32388592 46349192 64777184 92698384 129554368 168015821 185396768 336031642 370793536 672063284 1344126568 2688253136 5376506272 10753012544