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55545140442240 = 2732511818165329
BaseRepresentation
bin11001010000100100111000…
…10111010111010010000000
321021200001201100012011101200
430220102130113113102000
524240022421423122430
6314045030225301200
714462001234452541
oct1450223427272200
9237601640164350
1055545140442240
111677561a7a2459
12629102b194800
1324cbb65979857
14da05833604c8
15664ccade5460
hex32849c5d7480

55545140442240 has 192 divisors, whose sum is σ = 191966744993400. Its totient is φ = 14799493693440.

The previous prime is 55545140442193. The next prime is 55545140442241. The reversal of 55545140442240 is 4224404154555.

55545140442240 is a `hidden beast` number, since 5 + 5 + 5 + 45 + 140 + 4 + 422 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52426751759424 + 3118388682816 = 7240632^2 + 1765896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (55545140442241) 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 23 ways as a sum of consecutive naturals, for example, 2719896 + ... + 10885224.

Almost surely, 255545140442240 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 55545140442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95983372496700).

55545140442240 is an abundant number, since it is smaller than the sum of its proper divisors (136421604551160).

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

55545140442240 is a wasteful number, since it uses less digits than its factorization.

55545140442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166535 (or 8166520 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 55545140442240 its reverse (4224404154555), we get a palindrome (59769544596795).

The spelling of 55545140442240 in words is "fifty-five trillion, five hundred forty-five billion, one hundred forty million, four hundred forty-two thousand, two hundred forty".