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54797583456 = 2534711463593
BaseRepresentation
bin110011000010001100…
…001100010001100000
312020102221022122220000
4303002030030101200
51344211140132311
641101302220000
73646635526350
oct630214142140
9166387278800
1054797583456
112126a897560
12a753724600
1352239a93c5
14291b980b60
15165ab66056
hexcc230c460

54797583456 has 480 divisors, whose sum is σ = 201697993728. Its totient is φ = 14178447360.

The previous prime is 54797583427. The next prime is 54797583481. The reversal of 54797583456 is 65438579745.

54797583456 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 7 + 583 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54797583393 and 54797583402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92407096 + ... + 92407688.

Almost surely, 254797583456 is an apocalyptic number.

54797583456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54797583456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100848996864).

54797583456 is an abundant number, since it is smaller than the sum of its proper divisors (146900410272).

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

54797583456 is a wasteful number, since it uses less digits than its factorization.

54797583456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 54797583456 in words is "fifty-four billion, seven hundred ninety-seven million, five hundred eighty-three thousand, four hundred fifty-six".