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57693200084 = 221317157593701
BaseRepresentation
bin110101101110110010…
…000101111011010100
312111220201221020011022
4311232302011323110
51421123424400314
642300501300312
74111456052342
oct655662057324
9174821836138
1057693200084
1122516342153
12b221404698
135595873c20
142b14374992
151779e8b78e
hexd6ec85ed4

57693200084 has 96 divisors (see below), whose sum is σ = 116219559456. Its totient is φ = 24824217600.

The previous prime is 57693200083. The next prime is 57693200107. The reversal of 57693200084 is 48000239675.

It can be written as a sum of positive squares in 16 ways, for example, as 4599823684 + 53093376400 = 67822^2 + 230420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57693200083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82300934 + ... + 82301634.

It is an arithmetic number, because the mean of its divisors is an integer number (1210620411).

Almost surely, 257693200084 is an apocalyptic number.

It is an amenable number.

57693200084 is an abundant number, since it is smaller than the sum of its proper divisors (58526359372).

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

57693200084 is a wasteful number, since it uses less digits than its factorization.

57693200084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 57693200084 in words is "fifty-seven billion, six hundred ninety-three million, two hundred thousand, eighty-four".

Divisors: 1 2 4 13 17 26 34 52 68 157 221 314 442 593 628 701 884 1186 1402 2041 2372 2669 2804 4082 5338 7709 8164 9113 10081 10676 11917 15418 18226 20162 23834 30836 34697 36452 40324 47668 69394 93101 110057 131053 138788 154921 186202 220114 262106 309842 372404 415693 440228 524212 619684 831386 1210313 1430741 1582717 1662772 1870969 2420626 2861482 3165434 3741938 4841252 5404009 5722964 6330868 7066781 7483876 10808018 14133562 20575321 21616036 24322597 28267124 41150642 48645194 65263801 82301284 91868153 97290388 130527602 183736306 261055204 367472612 848429413 1109484617 1696858826 2218969234 3393717652 4437938468 14423300021 28846600042 57693200084