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4252675440000 = 27354132104849
BaseRepresentation
bin111101111000100111001…
…101010111110110000000
3120001112220021002222202210
4331320213031113312000
51024133434403040000
613013352505342120
7616150155545361
oct75704715276600
916045807088683
104252675440000
11139a605467559
12588244497940
1324b044252200
14109b8b1cdb68
157594db07350
hex3de27357d80

4252675440000 has 480 divisors, whose sum is σ = 15285186081000. Its totient is φ = 1046802432000.

The previous prime is 4252675439927. The next prime is 4252675440007. The reversal of 4252675440000 is 445762524.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252675440007) 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 59 ways as a sum of consecutive naturals, for example, 40507576 + ... + 40612424.

Almost surely, 24252675440000 is an apocalyptic number.

4252675440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252675440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642593040500).

4252675440000 is an abundant number, since it is smaller than the sum of its proper divisors (11032510641000).

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

4252675440000 is a wasteful number, since it uses less digits than its factorization.

4252675440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104912 (or 104872 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 4252675440000 in words is "four trillion, two hundred fifty-two billion, six hundred seventy-five million, four hundred forty thousand".