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54296706816 = 2832114349823
BaseRepresentation
bin110010100100010101…
…011111111100000000
312012011000211111022100
4302210111133330000
51342144424104231
640535450510400
73631344251532
oct624425377400
9165130744270
1054296706816
1121033091520
12a633a35400
135173ca82b1
1428b123b852
15162bbc81e6
hexca455ff00

54296706816 has 216 divisors, whose sum is σ = 174757879296. Its totient is φ = 16070584320.

The previous prime is 54296706769. The next prime is 54296706823. The reversal of 54296706816 is 61860769245.

54296706816 is a `hidden beast` number, since 542 + 96 + 7 + 0 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064881 + ... + 1114703.

It is an arithmetic number, because the mean of its divisors is an integer number (809064256).

Almost surely, 254296706816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54296706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87378939648).

54296706816 is an abundant number, since it is smaller than the sum of its proper divisors (120461172480).

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

54296706816 is a wasteful number, since it uses less digits than its factorization.

54296706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49899 (or 49882 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54296706816 in words is "fifty-four billion, two hundred ninety-six million, seven hundred six thousand, eight hundred sixteen".