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54523445704704 = 211333167474737
BaseRepresentation
bin11000110010110101110101…
…00111001111100000000000
321011001101112200021212211000
430121122322213033200000
524121303004100022304
6311543420345252000
714325121545463044
oct1431327247174000
9234041480255730
1054523445704704
111641129974a109
126147013794000
132456700b80212
14d66d3d91a024
1564842ec4d939
hex3196ba9cf800

54523445704704 has 384 divisors, whose sum is σ = 169210295654400. Its totient is φ = 17325661224960.

The previous prime is 54523445704681. The next prime is 54523445704801. The reversal of 54523445704704 is 40740754432545.

54523445704704 is a `hidden beast` number, since 5 + 4 + 5 + 23 + 4 + 4 + 570 + 47 + 0 + 4 = 666.

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

It is a super-2 number, since 2×545234457047042 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114612424 + ... + 115087160.

It is an arithmetic number, because the mean of its divisors is an integer number (440651811600).

Almost surely, 254523445704704 is an apocalyptic number.

54523445704704 is a gapful number since it is divisible by the number (54) 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 54523445704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84605147827200).

54523445704704 is an abundant number, since it is smaller than the sum of its proper divisors (114686849949696).

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

54523445704704 is a wasteful number, since it uses less digits than its factorization.

54523445704704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474866 (or 474840 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 54.

The spelling of 54523445704704 in words is "fifty-four trillion, five hundred twenty-three billion, four hundred forty-five million, seven hundred four thousand, seven hundred four".