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57027035628 = 223241353109451
BaseRepresentation
bin110101000111000100…
…111000000111101100
312110012022102120022200
4311013010320013230
51413242410120003
642110423141500
74056116543043
oct650704700754
9173168376280
1057027035628
1122204302a12
12b0762a4890
1354ba850584
142a8dac755a
15173b74e6a3
hexd471381ec

57027035628 has 72 divisors (see below), whose sum is σ = 148087242576. Its totient is φ = 18492672000.

The previous prime is 57027035627. The next prime is 57027035647. The reversal of 57027035628 is 82653072075.

57027035628 is a `hidden beast` number, since 5 + 7 + 0 + 270 + 356 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (57027035627) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 466303 + ... + 575753.

It is an arithmetic number, because the mean of its divisors is an integer number (2056767258).

Almost surely, 257027035628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57027035628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74043621288).

57027035628 is an abundant number, since it is smaller than the sum of its proper divisors (91060206948).

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

57027035628 is a wasteful number, since it uses less digits than its factorization.

57027035628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109855 (or 109850 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 57027035628 in words is "fifty-seven billion, twenty-seven million, thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 353 369 492 706 738 1059 1412 1476 2118 3177 4236 6354 12708 14473 28946 43419 57892 86838 109451 130257 173676 218902 260514 328353 437804 521028 656706 985059 1313412 1970118 3940236 4487491 8974982 13462473 17949964 26924946 38636203 40387419 53849892 77272406 80774838 115908609 154544812 161549676 231817218 347725827 463634436 695451654 1390903308 1584084323 3168168646 4752252969 6336337292 9504505938 14256758907 19009011876 28513517814 57027035628