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55646534321136 = 243211127659419753
BaseRepresentation
bin11001010011100001101111…
…11010010100001111110000
321022000202102122122220000200
430221300313322110033300
524243203100241234021
6314203355344115200
714502220665301113
oct1451606772241760
9238022378586020
1055646534321136
1116804620a16390
1262a8807905b00
1325085a41a38b5
14da544157c57a
156677626b6126
hex329c37e943f0

55646534321136 has 240 divisors, whose sum is σ = 171488515461120. Its totient is φ = 16704383431680.

The previous prime is 55646534321087. The next prime is 55646534321141. The reversal of 55646534321136 is 63112343564655.

55646534321136 is a `hidden beast` number, since 5 + 5 + 6 + 46 + 53 + 432 + 113 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132359836 + ... + 132779588.

It is an arithmetic number, because the mean of its divisors is an integer number (714535481088).

Almost surely, 255646534321136 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 55646534321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85744257730560).

55646534321136 is an abundant number, since it is smaller than the sum of its proper divisors (115841981139984).

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

55646534321136 is a wasteful number, since it uses less digits than its factorization.

55646534321136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420564 (or 420555 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 55646534321136 in words is "fifty-five trillion, six hundred forty-six billion, five hundred thirty-four million, three hundred twenty-one thousand, one hundred thirty-six".