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57482320500 = 223253112229461
BaseRepresentation
bin110101100010001101…
…101001101001110100
312111101001010102202100
4311202031221221310
51420210433224000
642223525342100
74103315443143
oct654215515164
9174331112670
1057482320500
11224182a9200
12b182867930
135560c7a8c7
142ad435d75a
1517666d3a00
hexd62369a74

57482320500 has 432 divisors, whose sum is σ = 200626105680. Its totient is φ = 13844160000.

The previous prime is 57482320459. The next prime is 57482320589. The reversal of 57482320500 is 502328475.

57482320500 is a `hidden beast` number, since 5 + 74 + 82 + 3 + 2 + 0 + 500 = 666.

57482320500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10303874064 + 47178446436 = 101508^2 + 217206^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124690270 + ... + 124690730.

Almost surely, 257482320500 is an apocalyptic number.

57482320500 is a gapful number since it is divisible by the number (50) 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 57482320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100313052840).

57482320500 is an abundant number, since it is smaller than the sum of its proper divisors (143143785180).

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

57482320500 is a wasteful number, since it uses less digits than its factorization.

57482320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 57482320500 its reverse (502328475), we get a palindrome (57984648975).

The spelling of 57482320500 in words is "fifty-seven billion, four hundred eighty-two million, three hundred twenty thousand, five hundred".