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48581259840 = 26365208253
BaseRepresentation
bin101101001111101010…
…110011001001000000
311122101201012201000000
4231033222303021000
51243443300303330
634152401000000
73336613616031
oct551752631100
9148351181000
1048581259840
111966a944623
1294b9923000
134772b5c3c9
1424cc140a88
1513e504c560
hexb4fab3240

48581259840 has 196 divisors, whose sum is σ = 173447675964. Its totient is φ = 12954940416.

The previous prime is 48581259833. The next prime is 48581259889. The reversal of 48581259840 is 4895218584.

48581259840 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 1 + 2 + 598 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8747486784 + 39833773056 = 93528^2 + 199584^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 129154 + ... + 337406.

Almost surely, 248581259840 is an apocalyptic number.

48581259840 is a gapful number since it is divisible by the number (40) 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 48581259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86723837982).

48581259840 is an abundant number, since it is smaller than the sum of its proper divisors (124866416124).

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

48581259840 is an equidigital number, since it uses as much as digits as its factorization.

48581259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208288 (or 208263 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 48581259840 in words is "forty-eight billion, five hundred eighty-one million, two hundred fifty-nine thousand, eight hundred forty".