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55005487542720 = 2637511132321039
BaseRepresentation
bin11001000000110111101101…
…00010111011000111000000
321012202110210000001110000000
430200123312202323013000
524202202214302331340
6312553101103000000
714405005154502141
oct1440336642730700
9235673700043000
1055005487542720
1116587772800720
126204522599000
13248ccc2658a30
14d823cbac3ac8
15655c43eded30
hex3206f68bb1c0

55005487542720 has 2688 divisors, whose sum is σ = 241488563097600. Its totient is φ = 11762418032640.

The previous prime is 55005487542713. The next prime is 55005487542749. The reversal of 55005487542720 is 2724578450055.

It is a happy number.

55005487542720 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 548 + 7 + 54 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52940795961 + ... + 52940796999.

It is an arithmetic number, because the mean of its divisors is an integer number (89839495200).

Almost surely, 255005487542720 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 55005487542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120744281548800).

55005487542720 is an abundant number, since it is smaller than the sum of its proper divisors (186483075554880).

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

55005487542720 is a wasteful number, since it uses less digits than its factorization.

55005487542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 15680000, while the sum is 54.

The spelling of 55005487542720 in words is "fifty-five trillion, five billion, four hundred eighty-seven million, five hundred forty-two thousand, seven hundred twenty".