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54212682921600 = 2735271794506907
BaseRepresentation
bin11000101001110010111111…
…01101010011011010000000
321002221200102002021211020110
430110321133231103122000
524101210033311442400
6311144543540311320
714263510551426120
oct1424713755233200
9232850362254213
1054212682921600
1116301519207645
1260b69459a2540
1324333073120c8
14d55c9d216c80
156402e275be50
hex314e5fb53680

54212682921600 has 384 divisors, whose sum is σ = 205212140582400. Its totient is φ = 12322241556480.

The previous prime is 54212682921589. The next prime is 54212682921653. The reversal of 54212682921600 is 612928621245.

54212682921600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54212682921600.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9775347 + ... + 14282253.

It is an arithmetic number, because the mean of its divisors is an integer number (534406616100).

Almost surely, 254212682921600 is an apocalyptic number.

54212682921600 is a gapful number since it is divisible by the number (50) 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 54212682921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606070291200).

54212682921600 is an abundant number, since it is smaller than the sum of its proper divisors (150999457660800).

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

54212682921600 is a wasteful number, since it uses less digits than its factorization.

54212682921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507120 (or 4507103 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 54212682921600 in words is "fifty-four trillion, two hundred twelve billion, six hundred eighty-two million, nine hundred twenty-one thousand, six hundred".