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55468186560 = 2633519337891
BaseRepresentation
bin110011101010001010…
…010101101111000000
312022011200011211102000
4303222022111233000
51402044323432220
641252015424000
74002360543423
oct635212255700
9168150154360
1055468186560
11215843885a6
12a900225000
1352cc8c5187
142982a659ba
15169997d390
hexcea295bc0

55468186560 has 224 divisors, whose sum is σ = 205978963200. Its totient is φ = 14012974080.

The previous prime is 55468186547. The next prime is 55468186567. The reversal of 55468186560 is 6568186455.

55468186560 is a `hidden beast` number, since 5 + 5 + 4 + 68 + 18 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55468186497 and 55468186506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55468186567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4786 + ... + 333105.

Almost surely, 255468186560 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 55468186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102989481600).

55468186560 is an abundant number, since it is smaller than the sum of its proper divisors (150510776640).

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

55468186560 is a wasteful number, since it uses less digits than its factorization.

55468186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337936 (or 337920 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 55468186560 in words is "fifty-five billion, four hundred sixty-eight million, one hundred eighty-six thousand, five hundred sixty".