Search a number
-
+
36536487989764 = 227437216672
BaseRepresentation
bin10000100111010110100000…
…11000110101001000000100
311210100212001200000221210011
420103223100120311020010
514242103211411133024
6205412344133440004
710460450142520000
oct1023532030651004
9153325050027704
1036536487989764
1110707045a69744
124121023aa0004
1317504b71b91a9
14904538363700
154355e7d9b094
hex213ad0635204

36536487989764 has 135 divisors (see below), whose sum is σ = 76707362206293. Its totient is φ = 15226152941664.

The previous prime is 36536487989741. The next prime is 36536487989779. The reversal of 36536487989764 is 46798978463563.

The square root of 36536487989764 is 6044542.

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

It can be written as a sum of positive squares in only one way, i.e., 32693351196100 + 3843136793664 = 5717810^2 + 1960392^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 21917508459 + ... + 21917510125.

Almost surely, 236536487989764 is an apocalyptic number.

36536487989764 is the 6044542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36536487989764

36536487989764 is an abundant number, since it is smaller than the sum of its proper divisors (40170874216529).

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

36536487989764 is an frugal number, since it uses more digits than its factorization.

36536487989764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 1713 counting only the distinct ones).

The product of its digits is 39504568320, while the sum is 85.

The spelling of 36536487989764 in words is "thirty-six trillion, five hundred thirty-six billion, four hundred eighty-seven million, nine hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 1036 1369 1372 1667 1813 2401 2738 3334 3626 4802 5476 6668 7252 9583 9604 11669 12691 19166 23338 25382 38332 46676 50764 61679 67081 81683 88837 123358 134162 163366 177674 246716 268324 326732 355348 431753 469567 571781 863506 939134 1143562 1727012 1878268 2282123 2287124 2778889 3022271 3286969 4002467 4564246 5557778 6044542 6573938 8004934 9128492 11115556 12089084 13147876 15974861 16009868 19452223 21155897 31949722 38904446 42311794 63899444 77808892 84623588 102818893 111824027 136165561 148091279 205637786 223648054 272331122 296182558 411275572 447296108 544662244 592365116 719732251 782768189 953158927 1439464502 1565536378 1906317854 2878929004 3131072756 3804299041 3812635708 5038125757 5479377323 6672112489 7608598082 10076251514 10958754646 13344224978 15217196164 20152503028 21917509292 26630093287 26688449956 35266880299 53260186574 70533760598 106520373148 141067521196 186410653009 246868162093 372821306018 493736324186 745642612036 987472648372 1304874571063 2609749142126 5219498284252 9134121997441 18268243994882 36536487989764