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10755753012 = 22321606918593
BaseRepresentation
bin10100000010001011…
…11100010000110100
31000202120211212100200
422001011330100310
5134011433044022
64535141040500
7530352251334
oct120105742064
930676755320
1010755753012
11461a384484
1221020b6130
13102544a6c4
147406910c4
1542e3e4bac
hex28117c434

10755753012 has 36 divisors (see below), whose sum is σ = 27191307780. Its totient is φ = 3584835072.

The previous prime is 10755752983. The next prime is 10755753031. The reversal of 10755753012 is 21035755701.

It is a happy number.

10755753012 is a `hidden beast` number, since 1 + 0 + 75 + 57 + 530 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4450757796 + 6304995216 = 66714^2 + 79404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 569188 + ... + 587780.

It is an arithmetic number, because the mean of its divisors is an integer number (755314105).

Almost surely, 210755753012 is an apocalyptic number.

10755753012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10755753012 is an abundant number, since it is smaller than the sum of its proper divisors (16435554768).

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

10755753012 is a wasteful number, since it uses less digits than its factorization.

10755753012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34672 (or 34667 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 10755753012 in words is "ten billion, seven hundred fifty-five million, seven hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 16069 18593 32138 37186 48207 55779 64276 74372 96414 111558 144621 167337 192828 223116 289242 334674 578484 669348 298770917 597541834 896312751 1195083668 1792625502 2688938253 3585251004 5377876506 10755753012