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36063060012 = 223271131518387
BaseRepresentation
bin100001100101100001…
…101010000000101100
310110002022000021010100
4201211201222000230
51042324120410022
624322300311100
72414450644440
oct414541520054
9113068007110
1036063060012
1114326725831
126ba5542490
13352953c885
141a61790820
15e1106b1ac
hex86586a02c

36063060012 has 144 divisors (see below), whose sum is σ = 105812808192. Its totient is φ = 10143705600.

The previous prime is 36063059999. The next prime is 36063060023. The reversal of 36063060012 is 21006036063.

It is a super-2 number, since 2×360630600122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4295683 + ... + 4304069.

It is an arithmetic number, because the mean of its divisors is an integer number (734811168).

Almost surely, 236063060012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36063060012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52906404096).

36063060012 is an abundant number, since it is smaller than the sum of its proper divisors (69749748180).

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

36063060012 is a wasteful number, since it uses less digits than its factorization.

36063060012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 36063060012 its reverse (21006036063), we get a palindrome (57069096075).

The spelling of 36063060012 in words is "thirty-six billion, sixty-three million, sixty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 151 226 252 302 339 452 453 604 678 791 906 1017 1057 1356 1359 1582 1812 2034 2114 2373 2718 3164 3171 4068 4228 4746 5436 6342 7119 8387 9492 9513 12684 14238 16774 17063 19026 25161 28476 33548 34126 38052 50322 51189 58709 68252 75483 100644 102378 117418 119441 150966 153567 176127 204756 234836 238882 301932 307134 352254 358323 477764 528381 614268 704508 716646 947731 1056762 1074969 1266437 1433292 1895462 2113524 2149938 2532874 2843193 3790924 3799311 4299876 5065748 5686386 6634117 7598622 8529579 8865059 11372772 11397933 13268234 15197244 17059158 17730118 19902351 22795866 26536468 26595177 34118316 35460236 39804702 45591732 53190354 59707053 79609404 79785531 106380708 119414106 143107381 159571062 238828212 286214762 319142124 429322143 572429524 858644286 1001751667 1287966429 1717288572 2003503334 2575932858 3005255001 4007006668 5151865716 6010510002 9015765003 12021020004 18031530006 36063060012