Search a number
-
+
11086005327012 = 22327113999280421
BaseRepresentation
bin1010000101010010100101…
…1010001101010010100100
31110020210220202211222021100
42201110221122031102210
52423113114330431022
635324501320120100
72222636355331050
oct241245132152244
943223822758240
1011086005327012
113594603aa5070
1212b0660906030
1362553776b4b5
142a47cbb08c60
1514358beb41ac
hexa152968d4a4

11086005327012 has 72 divisors (see below), whose sum is σ = 34937713766592. Its totient is φ = 2879481902400.

The previous prime is 11086005326999. The next prime is 11086005327013. The reversal of 11086005327012 is 21072350068011.

11086005327012 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 600 + 5 + 32 + 7 + 0 + 12 = 666.

It is a super-2 number, since 2×110860053270122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11086005327013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999637439 + ... + 1999642982.

It is an arithmetic number, because the mean of its divisors is an integer number (485246024536).

Almost surely, 211086005327012 is an apocalyptic number.

11086005327012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11086005327012 is an abundant number, since it is smaller than the sum of its proper divisors (23851708439580).

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

11086005327012 is a wasteful number, since it uses less digits than its factorization.

11086005327012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999280449 (or 3999280444 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11086005327012 in words is "eleven trillion, eighty-six billion, five million, three hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3999280421 7998560842 11997841263 15997121684 23995682526 27994962947 35993523789 43992084631 47991365052 55989925894 71987047578 83984888841 87984169262 111979851788 131976253893 143974095156 167969777682 175968338524 251954666523 263952507786 307944592417 335939555364 395928761679 503909333046 527905015572 615889184834 791857523358 923833777251 1007818666092 1231778369668 1583715046716 1847667554502 2771501331753 3695335109004 5543002663506 11086005327012