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57419661376 = 26721123892
BaseRepresentation
bin110101011110011110…
…101000000001000000
312111012200020000121001
4311132132220001000
51420043413131001
642213410341344
74101625032400
oct653636500100
9174180200531
1057419661376
11223959a1500
12b16588a854
135550cac4bc
142ac9ccc800
151760e58001
hexd5e7a8040

57419661376 has 189 divisors, whose sum is σ = 146065378557. Its totient is φ = 22313786880.

The previous prime is 57419661373. The next prime is 57419661389. The reversal of 57419661376 is 67316691475.

The square root of 57419661376 is 239624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13554547776 + 43865113600 = 116424^2 + 209440^2 .

It is not an unprimeable number, because it can be changed into a prime (57419661373) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147608190 + ... + 147608578.

Almost surely, 257419661376 is an apocalyptic number.

57419661376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57419661376 is the 239624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57419661376

57419661376 is an abundant number, since it is smaller than the sum of its proper divisors (88645717181).

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

57419661376 is an equidigital number, since it uses as much as digits as its factorization.

57419661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 409 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 55.

The spelling of 57419661376 in words is "fifty-seven billion, four hundred nineteen million, six hundred sixty-one thousand, three hundred seventy-six".