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508485938724 = 223217269912
BaseRepresentation
bin1110110011001000001…
…11111010111000100100
31210121111021000001202100
413121210013322320210
531312334400014344
61025332322212100
751510520110441
oct7314407727044
91717437001670
10508485938724
111867140688a5
128266aab4030
1338c472619aa
141a87a2629c8
15d360b1a569
hex76641fae24

508485938724 has 81 divisors (see below), whose sum is σ = 1365590536401. Its totient is φ = 159502181760.

The previous prime is 508485938677. The next prime is 508485938729. The reversal of 508485938724 is 427839584805.

The square root of 508485938724 is 713082.

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

508485938724 is a `hidden beast` number, since 50 + 8 + 485 + 9 + 3 + 87 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395880056100 + 112605882624 = 629190^2 + 335568^2 .

It is not an unprimeable number, because it can be changed into a prime (508485938729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72730869 + ... + 72737859.

Almost surely, 2508485938724 is an apocalyptic number.

508485938724 is the 713082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508485938724

508485938724 is an abundant number, since it is smaller than the sum of its proper divisors (857104597677).

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

508485938724 is an equidigital number, since it uses as much as digits as its factorization.

508485938724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

It can be divided in two parts, 508485 and 938724, that added together give a square (1447209 = 12032).

The spelling of 508485938724 in words is "five hundred eight billion, four hundred eighty-five million, nine hundred thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 6991 10404 13982 20973 27964 41946 62919 83892 118847 125838 237694 251676 356541 475388 713082 1069623 1426164 2020399 2139246 4040798 4278492 6061197 8081596 12122394 18183591 24244788 36367182 48874081 72734364 97748162 146622243 195496324 293244486 439866729 586488972 830859377 879733458 1661718754 1759466916 2492578131 3323437508 4985156262 7477734393 9970312524 14124609409 14955468786 28249218818 29910937572 42373828227 56498437636 84747656454 127121484681 169495312908 254242969362 508485938724