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55477391173120 = 295717473874639
BaseRepresentation
bin11001001110100110101100…
…01100011010011000000000
321021102120211202222200212001
430213103112030122120000
524232420144120014440
6313553543415313344
714454052320252520
oct1447232614323000
9237376752880761
1055477391173120
111674991402a854
12627ba8207b854
1324c5659916827
14d9b19762d680
156631631c2b9a
hex3274d631a600

55477391173120 has 320 divisors, whose sum is σ = 164384918691840. Its totient is φ = 17521051041792.

The previous prime is 55477391173117. The next prime is 55477391173247. The reversal of 55477391173120 is 2137119377455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12380761 + ... + 16255399.

It is an arithmetic number, because the mean of its divisors is an integer number (513702870912).

Almost surely, 255477391173120 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 55477391173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82192459345920).

55477391173120 is an abundant number, since it is smaller than the sum of its proper divisors (108907527518720).

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

55477391173120 is a wasteful number, since it uses less digits than its factorization.

55477391173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874733 (or 3874717 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 55477391173120 in words is "fifty-five trillion, four hundred seventy-seven billion, three hundred ninety-one million, one hundred seventy-three thousand, one hundred twenty".