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55073034324 = 22347211228669
BaseRepresentation
bin110011010010100110…
…111101000001010100
312021011010122000110000
4303102212331001110
51400242144044244
641144502131300
73656522032200
oct632246750124
9167133560400
1055073034324
11213a1323900
12a80ba20b30
135268a90299
1429463a3b00
151674e26169
hexcd29bd054

55073034324 has 270 divisors, whose sum is σ = 184093137690. Its totient is φ = 14304185280.

The previous prime is 55073034323. The next prime is 55073034353. The reversal of 55073034324 is 42343037055.

55073034324 is a `hidden beast` number, since 550 + 73 + 0 + 3 + 4 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52299116100 + 2773918224 = 228690^2 + 52668^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55073034323) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 1906662 + ... + 1935330.

Almost surely, 255073034324 is an apocalyptic number.

55073034324 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 55073034324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92046568845).

55073034324 is an abundant number, since it is smaller than the sum of its proper divisors (129020103366).

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

55073034324 is a wasteful number, since it uses less digits than its factorization.

55073034324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28692 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 55073034324 in words is "fifty-five billion, seventy-three million, thirty-four thousand, three hundred twenty-four".