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55540515240 = 2333578778377
BaseRepresentation
bin110011101110011110…
…010000000110101000
312022100201021111201000
4303232132100012220
51402221332441430
641303121555000
74004226406260
oct635636200650
9168321244630
1055540515240
112161119a171
12a9204a5a60
13531189a902
14298c4d27a0
1516a0eb8e60
hexcee7901a8

55540515240 has 256 divisors, whose sum is σ = 211849459200. Its totient is φ = 12678985728.

The previous prime is 55540515221. The next prime is 55540515271. The reversal of 55540515240 is 4251504555.

55540515240 is a `hidden beast` number, since 5 + 5 + 5 + 405 + 1 + 5 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55540515195 and 55540515204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6625932 + ... + 6634308.

It is an arithmetic number, because the mean of its divisors is an integer number (827536950).

Almost surely, 255540515240 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 55540515240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105924729600).

55540515240 is an abundant number, since it is smaller than the sum of its proper divisors (156308943960).

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

55540515240 is a wasteful number, since it uses less digits than its factorization.

55540515240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 55540515240 in words is "fifty-five billion, five hundred forty million, five hundred fifteen thousand, two hundred forty".