Search a number
-
+
33411087369 = 321122921912
BaseRepresentation
bin11111000111011101…
…001011110000001001
310012020110212002120100
4133013131023300021
51021411214243434
623203203320013
72261646361662
oct370735136011
9105213762510
1033411087369
1113195762500
126585380009
1331c5ca06aa
14188d4a0369
15d08321699
hex7c774bc09

33411087369 has 81 divisors (see below), whose sum is σ = 55228034407. Its totient is φ = 19448536800.

The previous prime is 33411087361. The next prime is 33411087397. The reversal of 33411087369 is 96378011433.

The square root of 33411087369 is 182787.

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., 17519963769 + 15891123600 = 132363^2 + 126060^2 .

It is not a de Polignac number, because 33411087369 - 23 = 33411087361 is a prime.

It is a super-2 number, since 2×334110873692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33411087361) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 174927064 + ... + 174927254.

Almost surely, 233411087369 is an apocalyptic number.

33411087369 is the 182787-th square number.

33411087369 is the 91394-th centered octagonal number.

It is an amenable number.

33411087369 is a deficient number, since it is larger than the sum of its proper divisors (21816947038).

33411087369 is a wasteful number, since it uses less digits than its factorization.

33411087369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 33411087369 in words is "thirty-three billion, four hundred eleven million, eighty-seven thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 29 33 87 99 121 191 261 319 363 573 841 957 1089 1719 2101 2523 2871 3509 5539 6303 7569 9251 10527 16617 18909 23111 27753 31581 36481 49851 60929 69333 83259 101761 109443 160631 182787 207999 305283 328329 401291 481893 548361 670219 915849 1057949 1203873 1445679 1766941 2010657 3173847 3611619 4414201 5300823 6031971 9521541 11637439 13242603 15902469 19436351 30680521 34912317 39727809 58309053 92041563 104736951 128011829 174927159 276124689 337485731 384035487 1012457193 1152106461 3037371579 3712343041 11137029123 33411087369