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532945735838064 = 24327507493008133
BaseRepresentation
bin111100100101101100001100…
…1010001001110100101110000
32120220000010002122221122020100
41321023120121101032211300
51024323240331333304224
65125251520251112400
7220154026105134363
oct17113303121164560
92526003078848210
10532945735838064
111448a402101757a
124b934554742700
1319b4b74b310c73
1495869d59340da
15419321d020ac9
hex1e4b61944e970

532945735838064 has 60 divisors (see below), whose sum is σ = 1491706543239016. Its totient is φ = 177624913862016.

The previous prime is 532945735838063. The next prime is 532945735838071. The reversal of 532945735838064 is 460838537549235.

532945735838064 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 457 + 35 + 8 + 3 + 80 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 532945735837983 and 532945735838001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532945735838063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245423059 + ... + 247585074.

Almost surely, 2532945735838064 is an apocalyptic number.

It is an amenable number.

532945735838064 is an abundant number, since it is smaller than the sum of its proper divisors (958760807400952).

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

532945735838064 is a wasteful number, since it uses less digits than its factorization.

532945735838064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493015654 (or 493015645 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 532945735838064 in words is "five hundred thirty-two trillion, nine hundred forty-five billion, seven hundred thirty-five million, eight hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7507 15014 22521 30028 45042 60056 67563 90084 120112 135126 180168 270252 360336 540504 1081008 493008133 986016266 1479024399 1972032532 2958048798 3944065064 4437073197 5916097596 7888130128 8874146394 11832195192 17748292788 23664390384 35496585576 70993171152 3701012054431 7402024108862 11103036163293 14804048217724 22206072326586 29608096435448 33309108489879 44412144653172 59216192870896 66618216979758 88824289306344 133236433959516 177648578612688 266472867919032 532945735838064