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55108956240 = 243251317334033
BaseRepresentation
bin110011010100101111…
…111111000001010000
312021020122020001001100
4303110233333001100
51400330343044430
641152224104400
73660436253622
oct632457770120
9167218201040
1055108956240
112140a629538
12a81ba65100
135273359860
14294b074c12
15167816e960
hexcd4bff050

55108956240 has 240 divisors, whose sum is σ = 200468700432. Its totient is φ = 13486473216.

The previous prime is 55108956211. The next prime is 55108956241. The reversal of 55108956240 is 4265980155.

55108956240 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 89 + 562 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 358572096 + 54750384144 = 18936^2 + 233988^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55108956241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1602264 + ... + 1636296.

Almost surely, 255108956240 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 55108956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100234350216).

55108956240 is an abundant number, since it is smaller than the sum of its proper divisors (145359744192).

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

55108956240 is a wasteful number, since it uses less digits than its factorization.

55108956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34238 (or 34229 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55108956240 in words is "fifty-five billion, one hundred eight million, nine hundred fifty-six thousand, two hundred forty".