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477348000056 = 232329547163543
BaseRepresentation
bin1101111001001000010…
…10000111000100111000
31200122010012110212222122
412330210022013010320
530310102042000211
61003142440140412
746326062024234
oct6744412070470
91618105425878
10477348000056
11174495557694
127861aa67708
13360241c4705
1419164a415c4
15c63c1646db
hex6f24287138

477348000056 has 64 divisors (see below), whose sum is σ = 967918809600. Its totient is φ = 220020248448.

The previous prime is 477348000047. The next prime is 477348000061. The reversal of 477348000056 is 650000843774.

It is a super-2 number, since 2×4773480000562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 477347999980 and 477348000016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2837021 + ... + 3000563.

It is an arithmetic number, because the mean of its divisors is an integer number (15123731400).

Almost surely, 2477348000056 is an apocalyptic number.

477348000056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

477348000056 is an abundant number, since it is smaller than the sum of its proper divisors (490570809544).

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

477348000056 is a wasteful number, since it uses less digits than its factorization.

With its successor (477348000057) it forms an eRAP, since the sums of their prime factors are consecutive (164148 and 164149).

477348000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164148 (or 164144 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 477348000056 in words is "four hundred seventy-seven billion, three hundred forty-eight million, fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 23 29 46 58 92 116 184 232 547 667 1094 1334 2188 2668 4376 5336 12581 15863 25162 31726 50324 63452 100648 126904 163543 327086 364849 654172 729698 1308344 1459396 2918792 3761489 4742747 7522978 9485494 15045956 18970988 30091912 37941976 89458021 109083181 178916042 218166362 357832084 436332724 715664168 872665448 2057534483 2594282609 4115068966 5188565218 8230137932 10377130436 16460275864 20754260872 59668500007 119337000014 238674000028 477348000056