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55822378752 = 2832729311813
BaseRepresentation
bin110011111111010001…
…011110011100000000
312100002100122122202100
4303333101132130000
51403311012110002
641351111150400
74014221250630
oct637721363400
9170070578670
1055822378752
1121746306418
12a99a975400
1353580b855a
1429b7b046c0
1516baae411c
hexcff45e700

55822378752 has 216 divisors, whose sum is σ = 184585905504. Its totient is φ = 15893471232.

The previous prime is 55822378697. The next prime is 55822378757. The reversal of 55822378752 is 25787322855.

55822378752 is a `hidden beast` number, since 5 + 582 + 2 + 3 + 7 + 8 + 7 + 52 = 666.

It is a super-2 number, since 2×558223787522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55822378757) 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 23 ways as a sum of consecutive naturals, for example, 4719598 + ... + 4731410.

Almost surely, 255822378752 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 55822378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92292952752).

55822378752 is an abundant number, since it is smaller than the sum of its proper divisors (128763526752).

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

55822378752 is a wasteful number, since it uses less digits than its factorization.

55822378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135 (or 12118 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 55822378752 in words is "fifty-five billion, eight hundred twenty-two million, three hundred seventy-eight thousand, seven hundred fifty-two".