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54316106208 = 25327131925741
BaseRepresentation
bin110010100101011111…
…100000000111100000
312012012101100002021100
4302211133200013200
51342214410344313
640541422354400
73632001166530
oct624537400740
9165171302240
1054316106208
1121043031581
12a63a42ba00
13517800b220
1428b3a4b4c0
15162d75b173
hexca57e01e0

54316106208 has 432 divisors, whose sum is σ = 200673529056. Its totient is φ = 13568808960.

The previous prime is 54316106197. The next prime is 54316106213. The reversal of 54316106208 is 80260161345.

It is a happy number.

54316106208 is a `hidden beast` number, since 5 + 4 + 3 + 16 + 10 + 620 + 8 = 666.

It is a super-2 number, since 2×543161062082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9458218 + ... + 9463958.

It is an arithmetic number, because the mean of its divisors is an integer number (464522058).

Almost surely, 254316106208 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 54316106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336764528).

54316106208 is an abundant number, since it is smaller than the sum of its proper divisors (146357422848).

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

54316106208 is a wasteful number, since it uses less digits than its factorization.

54316106208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54316106208 in words is "fifty-four billion, three hundred sixteen million, one hundred six thousand, two hundred eight".