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512372503204 = 221723725692
BaseRepresentation
bin1110111010010111100…
…01111111001010100100
31210222112010020222220221
413131023301333022210
531343314330100304
61031214120534124
752006032263302
oct7351361771244
91728463228827
10512372503204
11188328a14261
1283374621344
13394165173a3
141ab284c9272
15d4dbe35054
hex774bc7f2a4

512372503204 has 81 divisors (see below), whose sum is σ = 980661157833. Its totient is φ = 234187508736.

The previous prime is 512372503199. The next prime is 512372503217. The reversal of 512372503204 is 402305273215.

The square root of 512372503204 is 715802.

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

It can be written as a sum of positive squares in 13 ways, for example, as 78513160804 + 433859342400 = 280202^2 + 658680^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 512372503204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 900478632 + ... + 900479200.

Almost surely, 2512372503204 is an apocalyptic number.

512372503204 is the 715802-nd square number.

It is an amenable number.

512372503204 is a deficient number, since it is larger than the sum of its proper divisors (468288654629).

512372503204 is an equidigital number, since it uses as much as digits as its factorization.

512372503204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 512372503204 its reverse (402305273215), we get a palindrome (914677776419).

The spelling of 512372503204 in words is "five hundred twelve billion, three hundred seventy-two million, five hundred three thousand, two hundred four".

Divisors: 1 2 4 17 34 37 68 74 148 289 569 578 629 1138 1156 1258 1369 2276 2516 2738 5476 9673 10693 19346 21053 21386 23273 38692 42106 42772 46546 84212 93092 164441 323761 328882 357901 395641 647522 657764 715802 778961 791282 1295044 1431604 1557922 1582564 3115844 5503937 6084317 11007874 11979157 12168634 13242337 22015748 23958314 24337268 26484674 47916628 52969348 93566929 187133858 203645669 225119729 374267716 407291338 443228809 450239458 814582676 886457618 900478916 1772915236 3461976373 6923952746 7534889753 13847905492 15069779506 30139559012 128093125801 256186251602 512372503204