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57718140516 = 223814832
BaseRepresentation
bin110101110000010001…
…001110111001100100
312111222110212100000000
4311300101032321210
51421201320444031
642303152021300
74112211046101
oct656021167144
9174873770000
1057718140516
1122529427283
12b229831830
13559aa96c8a
142b177c7aa8
15177c2663e6
hexd7044ee64

57718140516 has 81 divisors (see below), whose sum is σ = 151604649651. Its totient is φ = 19226406888.

The previous prime is 57718140509. The next prime is 57718140517. The reversal of 57718140516 is 61504181775.

The square root of 57718140516 is 240246.

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

57718140516 is a `hidden beast` number, since 57 + 7 + 1 + 81 + 4 + 0 + 516 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not an unprimeable number, because it can be changed into a prime (57718140517) 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 26 ways as a sum of consecutive naturals, for example, 38919111 + ... + 38920593.

Almost surely, 257718140516 is an apocalyptic number.

57718140516 is the 240246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57718140516

57718140516 is an abundant number, since it is smaller than the sum of its proper divisors (93886509135).

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

57718140516 is an frugal number, since it uses more digits than its factorization.

57718140516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 57718140516 in words is "fifty-seven billion, seven hundred eighteen million, one hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1483 2187 2916 2966 4374 4449 5932 6561 8748 8898 13122 13347 17796 26244 26694 40041 53388 80082 120123 160164 240246 360369 480492 720738 1081107 1441476 2162214 2199289 3243321 4324428 4398578 6486642 6597867 8797156 9729963 12973284 13195734 19459926 19793601 26391468 38919852 39587202 59380803 79174404 118761606 178142409 237523212 356284818 534427227 712569636 1068854454 1603281681 2137708908 3206563362 4809845043 6413126724 9619690086 14429535129 19239380172 28859070258 57718140516