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54257782488 = 233713172314759
BaseRepresentation
bin110010100010000001…
…000000111011011000
312012001022120221011120
4302202001000323120
51342104443014423
640531540325240
73630362353530
oct624201007330
9165038527146
1054257782488
1121013116058
12a6229a3820
135168bca250
1428a9dc84c0
151628589ee3
hexca2040ed8

54257782488 has 768 divisors, whose sum is σ = 190129766400. Its totient is φ = 12540026880.

The previous prime is 54257782433. The next prime is 54257782499. The reversal of 54257782488 is 88428775245.

It is a Cunningham number, because it is equal to 2329332-1.

Its product of digits (40140800) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 919623403 + ... + 919623461.

It is an arithmetic number, because the mean of its divisors is an integer number (247564800).

Almost surely, 254257782488 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 54257782488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95064883200).

54257782488 is an abundant number, since it is smaller than the sum of its proper divisors (135871983912).

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

54257782488 is a wasteful number, since it uses less digits than its factorization.

54257782488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 40140800, while the sum is 60.

The spelling of 54257782488 in words is "fifty-four billion, two hundred fifty-seven million, seven hundred eighty-two thousand, four hundred eighty-eight".