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1318464283536 = 243210329292
BaseRepresentation
bin10011001011111010100…
…110000110001110010000
311200001012001011020112100
4103023322212012032100
5133100203324033121
62445405533200400
7164153526332661
oct23137246061620
94601161136470
101318464283536
11469180796754
1219363b030100
139743b585bba
1447b57911368
1524469e3e026
hex132fa986390

1318464283536 has 135 divisors (see below), whose sum is σ = 3730055693169. Its totient is φ = 434752736256.

The previous prime is 1318464283463. The next prime is 1318464283559. The reversal of 1318464283536 is 6353824648131.

The square root of 1318464283536 is 1148244.

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

1318464283536 is a `hidden beast` number, since 1 + 3 + 1 + 84 + 6 + 4 + 28 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25422389136 + 1293041894400 = 159444^2 + 1137120^2 .

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 26 ways as a sum of consecutive naturals, for example, 1419229120 + ... + 1419230048.

Almost surely, 21318464283536 is an apocalyptic number.

1318464283536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1318464283536 is the 1148244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318464283536

1318464283536 is an abundant number, since it is smaller than the sum of its proper divisors (2411591409633).

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

1318464283536 is an frugal number, since it uses more digits than its factorization.

1318464283536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1037 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 1318464283536 in words is "one trillion, three hundred eighteen billion, four hundred sixty-four million, two hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 929 1236 1648 1854 1858 2472 2787 3708 3716 4944 5574 7416 7432 8361 10609 11148 14832 14864 16722 21218 22296 31827 33444 42436 44592 63654 66888 84872 95481 95687 127308 133776 169744 190962 191374 254616 287061 381924 382748 509232 574122 763848 765496 861183 863041 1148244 1527696 1530992 1722366 1726082 2296488 2589123 3444732 3452164 4592976 5178246 6889464 6904328 7767369 9855761 10356492 13778928 13808656 15534738 19711522 20712984 29567283 31069476 39423044 41425968 59134566 62138952 78846088 88701849 88893223 118269132 124277904 157692176 177403698 177786446 236538264 266679669 354807396 355572892 473076528 533359338 709614792 711145784 800039007 1066718676 1419229584 1422291568 1600078014 2133437352 3200156028 4266874704 6400312056 9156001969 12800624112 18312003938 27468005907 36624007876 54936011814 73248015752 82404017721 109872023628 146496031504 164808035442 219744047256 329616070884 439488094512 659232141768 1318464283536