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54840641776823 = 7174159190510843
BaseRepresentation
bin11000111100000100101001…
…11110001110110010110111
321012011201021121122212212002
430132002110332032302313
524142002113243324243
6312345235410045515
714360051140554440
oct1436022476166267
9235151247585762
1054840641776823
1116523870654961
126198597b7989b
13247a5b14b2716
14d784307ba2c7
156517e6e14eb8
hex31e094f8ecb7

54840641776823 has 32 divisors (see below), whose sum is σ = 69132575070720. Its totient is φ = 42430574730240.

The previous prime is 54840641776769. The next prime is 54840641776831. The reversal of 54840641776823 is 32867714604845.

It is a cyclic number.

It is not a de Polignac number, because 54840641776823 - 216 = 54840641711287 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 54840641776823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54840641772823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94967561 + ... + 95543282.

It is an arithmetic number, because the mean of its divisors is an integer number (2160392970960).

Almost surely, 254840641776823 is an apocalyptic number.

54840641776823 is a deficient number, since it is larger than the sum of its proper divisors (14291933293897).

54840641776823 is a wasteful number, since it uses less digits than its factorization.

54840641776823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190510967.

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 54840641776823 in words is "fifty-four trillion, eight hundred forty billion, six hundred forty-one million, seven hundred seventy-six thousand, eight hundred twenty-three".

Divisors: 1 7 17 41 59 119 287 413 697 1003 2419 4879 7021 16933 41123 287861 190510843 1333575901 3238684331 7810944563 11240139737 22670790317 54676611941 78680978159 132786057571 191082375529 460845729217 929502402997 1337576628703 3225920104519 7834377396689 54840641776823