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55223144064 = 2733113147997
BaseRepresentation
bin110011011011100011…
…100100111010000000
312021112121002101022000
4303123203210322000
51401044111102224
641211423344000
73663323660004
oct633343447200
9167477071260
1055223144064
1121469030540
12a852152000
135290bca10a
14295c2ba704
1516831c80c9
hexcdb8e4e80

55223144064 has 512 divisors, whose sum is σ = 187630387200. Its totient is φ = 15834009600.

The previous prime is 55223144057. The next prime is 55223144101. The reversal of 55223144064 is 46044132255.

55223144064 is a `hidden beast` number, since 5 + 522 + 31 + 4 + 40 + 64 = 666.

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

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, 55388814 + ... + 55389810.

It is an arithmetic number, because the mean of its divisors is an integer number (366465600).

Almost surely, 255223144064 is an apocalyptic number.

55223144064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55223144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93815193600).

55223144064 is an abundant number, since it is smaller than the sum of its proper divisors (132407243136).

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

55223144064 is a wasteful number, since it uses less digits than its factorization.

55223144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 55223144064 in words is "fifty-five billion, two hundred twenty-three million, one hundred forty-four thousand, sixty-four".