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55644330240 = 283451947601
BaseRepresentation
bin110011110100101010…
…010001100100000000
312022121221121212010000
4303310222101210000
51402424422031430
641321311040000
74006630001022
oct636452214400
9168557555100
1055644330240
1121664856994
12a94b210000
13532a2489c5
14299c1d8012
1516aa173e60
hexcf4a91900

55644330240 has 720 divisors, whose sum is σ = 214400229120. Its totient is φ = 13735526400.

The previous prime is 55644330239. The next prime is 55644330251. The reversal of 55644330240 is 4203344655.

55644330240 is a `hidden beast` number, since 5 + 5 + 644 + 3 + 3 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 55644330195 and 55644330204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92585940 + ... + 92586540.

It is an arithmetic number, because the mean of its divisors is an integer number (297778096).

Almost surely, 255644330240 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 55644330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107200114560).

55644330240 is an abundant number, since it is smaller than the sum of its proper divisors (158755898880).

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

55644330240 is a wasteful number, since it uses less digits than its factorization.

55644330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 55644330240 its reverse (4203344655), we get a palindrome (59847674895).

The spelling of 55644330240 in words is "fifty-five billion, six hundred forty-four million, three hundred thirty thousand, two hundred forty".