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57743128804 = 2213728772
BaseRepresentation
bin110101110001110000…
…100011100011100100
312112001012212212111011
4311301300203203210
51421224220110204
642305443352004
74112633332204
oct656160434344
9175035785434
1057743128804
1122541544359
12b236082604
1355a3005a4a
142b1ac50404
15177e550304
hexd71c238e4

57743128804 has 27 divisors (see below), whose sum is σ = 101909656443. Its totient is φ = 28628142528.

The previous prime is 57743128787. The next prime is 57743128843. The reversal of 57743128804 is 40882134775.

The square root of 57743128804 is 240298.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11621271204 + 46121857600 = 107802^2 + 214760^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 65841214 + ... + 65842090.

Almost surely, 257743128804 is an apocalyptic number.

57743128804 is the 240298-th square number.

It is an amenable number.

57743128804 is a deficient number, since it is larger than the sum of its proper divisors (44166527639).

57743128804 is an frugal number, since it uses more digits than its factorization.

57743128804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

Multiplying 57743128804 by its sum of digits (49), we get a square (2829413311396 = 16820862).

The spelling of 57743128804 in words is "fifty-seven billion, seven hundred forty-three million, one hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 4 137 274 548 877 1754 3508 18769 37538 75076 120149 240298 480596 769129 1538258 3076516 16460413 32920826 65841652 105370673 210741346 421482692 14435782201 28871564402 57743128804