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57123020754 = 23223211353089
BaseRepresentation
bin110101001100110011…
…000001111111010010
312110110000001010011100
4311030303001333102
51413441443131004
642124132325230
74061363444052
oct651463017722
9173400033140
1057123020754
1122253501a68
12b0a2473816
1355046b97c7
142a9c751562
151744dae739
hexd4ccc1fd2

57123020754 has 72 divisors (see below), whose sum is σ = 130529091420. Its totient is φ = 18051618816.

The previous prime is 57123020719. The next prime is 57123020767. The reversal of 57123020754 is 45702032175.

57123020754 is a `hidden beast` number, since 571 + 2 + 30 + 2 + 0 + 7 + 54 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39626874225 + 17496146529 = 199065^2 + 132273^2 .

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 1049442 + ... + 1102530.

Almost surely, 257123020754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57123020754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65264545710).

57123020754 is an abundant number, since it is smaller than the sum of its proper divisors (73406070666).

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

57123020754 is a wasteful number, since it uses less digits than its factorization.

57123020754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53256 (or 53230 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 57123020754 in words is "fifty-seven billion, one hundred twenty-three million, twenty thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 339 414 529 678 1017 1058 1587 2034 2599 3174 4761 5198 7797 9522 15594 23391 46782 53089 59777 106178 119554 159267 179331 318534 358662 477801 537993 955602 1075986 1221047 2442094 3663141 5999057 7326282 10989423 11998114 17997171 21978846 28084081 35994342 53991513 56168162 84252243 107983026 137978311 168504486 252756729 275956622 413934933 505513458 827869866 1241804799 2483609598 3173501153 6347002306 9520503459 19041006918 28561510377 57123020754