Search a number
-
+
36080228649124 = 22114248212
BaseRepresentation
bin10000011010000100101010…
…01101100100100010100100
311201202020101011120222000101
420031002111031210202210
514212114302013232444
6204423010032353444
710412465462230462
oct1015022515444244
9151666334528011
1036080228649124
11105505a2510000
12406870b6a5884
1317194740ac29a
148ca414433832
154287e23483d4
hex20d0953648a4

36080228649124 has 45 divisors (see below), whose sum is σ = 69456807200305. Its totient is φ = 16399443196400.

The previous prime is 36080228649103. The next prime is 36080228649139. The reversal of 36080228649124 is 42194682208063.

The square root of 36080228649124 is 6006682.

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., 4721572634724 + 31358656014400 = 2172918^2 + 5599880^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 1453604634 + ... + 1453629454.

Almost surely, 236080228649124 is an apocalyptic number.

36080228649124 is the 6006682-nd square number.

It is an amenable number.

36080228649124 is a deficient number, since it is larger than the sum of its proper divisors (33376578551181).

36080228649124 is an frugal number, since it uses more digits than its factorization.

36080228649124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49690 (or 24834 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 36080228649124 in words is "thirty-six trillion, eighty billion, two hundred twenty-eight million, six hundred forty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 1331 2662 5324 14641 24821 29282 49642 58564 99284 273031 546062 1092124 3003341 6006682 12013364 33036751 66073502 132147004 363404261 616082041 726808522 1232164082 1453617044 2464328164 6776902451 13553804902 27107609804 74545926961 149091853922 298183707844 820005196571 1640010393142 3280020786284 9020057162281 18040114324562 36080228649124