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55448345880 = 23345414783107
BaseRepresentation
bin110011101000111110…
…101001110100011000
312022010021211211010000
4303220332221310120
51402024234032010
641250030253000
74002030110034
oct635076516430
9168107754100
1055448345880
1121574166a44
12a8b5657160
1352c8769425
14298017d1c4
151697d5e7c0
hexce8fa9d18

55448345880 has 640 divisors, whose sum is σ = 199168865280. Its totient is φ = 13818193920.

The previous prime is 55448345879. The next prime is 55448345899. The reversal of 55448345880 is 8854384455.

55448345880 is a `hidden beast` number, since 5 + 54 + 4 + 8 + 3 + 4 + 588 + 0 = 666.

It is a super-2 number, since 2×554483458802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 518208787 + ... + 518208893.

It is an arithmetic number, because the mean of its divisors is an integer number (311201352).

Almost surely, 255448345880 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 55448345880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99584432640).

55448345880 is an abundant number, since it is smaller than the sum of its proper divisors (143720519400).

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

55448345880 is a wasteful number, since it uses less digits than its factorization.

55448345880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 55448345880 in words is "fifty-five billion, four hundred forty-eight million, three hundred forty-five thousand, eight hundred eighty".