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56054499228 = 223373131741167
BaseRepresentation
bin110100001101000110…
…111100011110011100
312100200112102121012000
4310031012330132130
51404244422433403
641430122242300
74023040245000
oct641506743634
9170615377160
1056054499228
1121855337a22
12aa44656390
13539420aa50
1429da888700
1516d11957a3
hexd0d1bc79c

56054499228 has 768 divisors, whose sum is σ = 199148544000. Its totient is φ = 13493329920.

The previous prime is 56054499223. The next prime is 56054499229. The reversal of 56054499228 is 82299445065.

56054499228 is a `hidden beast` number, since 5 + 6 + 0 + 544 + 9 + 92 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56054499223) 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 255 ways as a sum of consecutive naturals, for example, 335655601 + ... + 335655767.

It is an arithmetic number, because the mean of its divisors is an integer number (259308000).

Almost surely, 256054499228 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 56054499228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272000).

56054499228 is an abundant number, since it is smaller than the sum of its proper divisors (143094044772).

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

56054499228 is a wasteful number, since it uses less digits than its factorization.

56054499228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56054499228 in words is "fifty-six billion, fifty-four million, four hundred ninety-nine thousand, two hundred twenty-eight".