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11067338007 = 32112312134007
BaseRepresentation
bin10100100111010101…
…00010110100010111
31001120022011000121200
422103222202310113
5140131214304012
65030111243543
7541154551365
oct122352426427
931508130550
1011067338007
11476a250940
12218a5195b3
131074b7361b
1476dbdc635
1544b9413dc
hex293aa2d17

11067338007 has 48 divisors (see below), whose sum is σ = 18217225728. Its totient is φ = 6408959040.

The previous prime is 11067338003. The next prime is 11067338021. The reversal of 11067338007 is 70083376011.

11067338007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11067338007 - 22 = 11067338003 is a prime.

It is a super-2 number, since 2×110673380072 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067338003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2759998 + ... + 2764004.

It is an arithmetic number, because the mean of its divisors is an integer number (379525536).

Almost surely, 211067338007 is an apocalyptic number.

11067338007 is a deficient number, since it is larger than the sum of its proper divisors (7149887721).

11067338007 is a wasteful number, since it uses less digits than its factorization.

11067338007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5257 counting only the distinct ones).

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

The spelling of 11067338007 in words is "eleven billion, sixty-seven million, three hundred thirty-eight thousand, seven".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 1213 2277 3639 4007 10917 12021 13343 27899 36063 40029 44077 83697 92161 120087 132231 251091 276483 306889 396693 829449 920667 1013771 2762001 3041313 4860491 9123939 14581473 43744419 53465401 111791293 160396203 335373879 481188609 1006121637 1229704223 3689112669 11067338007