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54298242578304 = 27321712721831353
BaseRepresentation
bin11000101100010010010110…
…11101011111011110000000
321010020212020212212201110200
430112021023131133132000
524104110300100001204
6311252133540525200
714302630032466314
oct1426111335373600
9233225225781420
1054298242578304
111633483442402a
12610b4436b0800
13243b3c12174ca
14d5a0984d7b44
1564264dd81539
hex31624b75f780

54298242578304 has 192 divisors, whose sum is σ = 166742642327040. Its totient is φ = 16900610162688.

The previous prime is 54298242578267. The next prime is 54298242578339. The reversal of 54298242578304 is 40387524289245.

54298242578304 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 8 + 24 + 2 + 578 + 30 + 4 = 666.

54298242578304 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 (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8428509 + ... + 13402844.

It is an arithmetic number, because the mean of its divisors is an integer number (868451262120).

Almost surely, 254298242578304 is an apocalyptic number.

It is an amenable number.

54298242578304 is an abundant number, since it is smaller than the sum of its proper divisors (112444399748736).

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

54298242578304 is a wasteful number, since it uses less digits than its factorization.

54298242578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831517 (or 21831502 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 54298242578304 in words is "fifty-four trillion, two hundred ninety-eight billion, two hundred forty-two million, five hundred seventy-eight thousand, three hundred four".