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57241137450 = 235271093311511
BaseRepresentation
bin110101010011110101…
…100111000100101010
312110202020022001210210
4311103311213010222
51414212212344300
642143552121550
74064326432440
oct652365470452
9173666261723
1057241137450
1122304147872
12b115b362b6
135523004443
142ab02dab90
151750442050
hexd53d6712a

57241137450 has 192 divisors, whose sum is σ = 164329482240. Its totient is φ = 12915936000.

The previous prime is 57241137439. The next prime is 57241137463. The reversal of 57241137450 is 5473114275.

It is a junction number, because it is equal to n+sod(n) for n = 57241137399 and 57241137408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37882195 + ... + 37883705.

It is an arithmetic number, because the mean of its divisors is an integer number (855882720).

Almost surely, 257241137450 is an apocalyptic number.

57241137450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57241137450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82164741120).

57241137450 is an abundant number, since it is smaller than the sum of its proper divisors (107088344790).

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

57241137450 is a wasteful number, since it uses less digits than its factorization.

57241137450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 57241137450 in words is "fifty-seven billion, two hundred forty-one million, one hundred thirty-seven thousand, four hundred fifty".