Search a number
-
+
550745601120 = 2532511132674561
BaseRepresentation
bin10000000001110101111…
…11101111010001100000
31221122120102000100022200
420000322333233101200
533010411333213440
61101001541333200
754534663240321
oct10007277572140
91848512010280
10550745601120
111a262a596720
128a8a3707200
133cc20504ca0
141c92899c448
15e4d5ba6c30
hex803afef460

550745601120 has 288 divisors, whose sum is σ = 2207990008224. Its totient is φ = 123243724800.

The previous prime is 550745601079. The next prime is 550745601121. The reversal of 550745601120 is 21106547055.

550745601120 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 45 + 601 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (550745601121) 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 47 ways as a sum of consecutive naturals, for example, 1131361 + ... + 1543200.

It is an arithmetic number, because the mean of its divisors is an integer number (7666631973).

Almost surely, 2550745601120 is an apocalyptic number.

It is an amenable number.

550745601120 is an abundant number, since it is smaller than the sum of its proper divisors (1657244407104).

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

550745601120 is a wasteful number, since it uses less digits than its factorization.

550745601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674606 (or 2674595 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 550745601120 in words is "five hundred fifty billion, seven hundred forty-five million, six hundred one thousand, one hundred twenty".