Search a number
-
+
11066037741 = 32111914833967
BaseRepresentation
bin10100100111001011…
…00101010111101101
31001120012200221222200
422103211211113231
5140130401201431
65030023332113
7541140524463
oct122345452755
931505627880
1011066037741
114769542a40
122189bb1039
131074809835
1476d980833
1544b785ee6
hex2939655ed

11066037741 has 48 divisors (see below), whose sum is σ = 18372157440. Its totient is φ = 6347820960.

The previous prime is 11066037721. The next prime is 11066037757. The reversal of 11066037741 is 14773066011.

11066037741 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 603 + 7 + 7 + 41 = 666.

It is not a de Polignac number, because 11066037741 - 217 = 11065906669 is a prime.

It is a super-3 number, since 3×110660377413 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11066037696 and 11066037705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066037701) 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 47 ways as a sum of consecutive naturals, for example, 2787540 + ... + 2791506.

It is an arithmetic number, because the mean of its divisors is an integer number (382753280).

Almost surely, 211066037741 is an apocalyptic number.

11066037741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11066037741 is a deficient number, since it is larger than the sum of its proper divisors (7306119699).

11066037741 is a wasteful number, since it uses less digits than its factorization.

11066037741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11066037741 in words is "eleven billion, sixty-six million, thirty-seven thousand, seven hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1483 1881 3967 4449 11901 13347 16313 28177 35703 43637 48939 75373 84531 130911 146817 226119 253593 309947 392733 678357 829103 929841 2487309 2789523 5883061 7461927 17649183 52947549 64713671 111778159 194141013 335334477 582423039 1006003431 1229559749 3688679247 11066037741