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54004260768 = 2533118146593
BaseRepresentation
bin110010010010111001…
…111001111110100000
312011101122112200202020
4302102321321332200
51341100042321033
640450442421440
73621163433253
oct622271717640
9164348480666
1054004260768
11209a2aa7477
12a571b01880
1351285238b3
14288447309a
1516111ac6b3
hexc92e79fa0

54004260768 has 48 divisors (see below), whose sum is σ = 146334134016. Its totient is φ = 17420728320.

The previous prime is 54004260749. The next prime is 54004260787. The reversal of 54004260768 is 86706240045.

It is an interprime number because it is at equal distance from previous prime (54004260749) and next prime (54004260787).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9070321 + ... + 9076272.

It is an arithmetic number, because the mean of its divisors is an integer number (3048627792).

Almost surely, 254004260768 is an apocalyptic number.

It is an amenable number.

54004260768 is an abundant number, since it is smaller than the sum of its proper divisors (92329873248).

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

54004260768 is a wasteful number, since it uses less digits than its factorization.

54004260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146637 (or 18146629 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 54004260768 in words is "fifty-four billion, four million, two hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 18146593 36293186 54439779 72586372 108879558 145172744 217759116 290345488 435518232 562544383 580690976 871036464 1125088766 1687633149 1742072928 2250177532 3375266298 4500355064 6750532596 9000710128 13501065192 18001420256 27002130384 54004260768