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55288031040 = 263251117251409
BaseRepresentation
bin110011011111011011…
…000110011101000000
312021201010011222111100
4303133123012131000
51401212213443130
641222102214400
73665042336604
oct633733063500
9167633158440
1055288031040
11214a171a040
12a86ba24400
1352a1498588
142966b6b504
151688c43c60
hexcdf6c6740

55288031040 has 672 divisors, whose sum is σ = 221073390720. Its totient is φ = 12533760000.

The previous prime is 55288030969. The next prime is 55288031047. The reversal of 55288031040 is 4013088255.

It is a happy number.

55288031040 is a `hidden beast` number, since 5 + 528 + 80 + 3 + 10 + 40 = 666.

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 = 55288030986 and 55288031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55288031047) 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 95 ways as a sum of consecutive naturals, for example, 135178356 + ... + 135178764.

It is an arithmetic number, because the mean of its divisors is an integer number (328978260).

Almost surely, 255288031040 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 55288031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110536695360).

55288031040 is an abundant number, since it is smaller than the sum of its proper divisors (165785359680).

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

55288031040 is a wasteful number, since it uses less digits than its factorization.

55288031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55288031040 in words is "fifty-five billion, two hundred eighty-eight million, thirty-one thousand, forty".