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11066619204 = 22328921972
BaseRepresentation
bin10100100111001111…
…10011010101000100
31001120020210111121100
422103213303111010
5140131023303304
65030044020100
7541145465634
oct122347632504
931506714540
1011066619204
1147698aa893
12218a231630
1310749813b4
1476da926c4
1544b84d439
hex2939f3544

11066619204 has 81 divisors (see below), whose sum is σ = 28436142007. Its totient is φ = 3628910208.

The previous prime is 11066619197. The next prime is 11066619233. The reversal of 11066619204 is 40291666011.

The square root of 11066619204 is 105198.

It is a perfect power (a square), and thus also a powerful number.

11066619204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1036196100 + 10030423104 = 32190^2 + 100152^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 56175634 + ... + 56175830.

Almost surely, 211066619204 is an apocalyptic number.

11066619204 is the 105198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11066619204

11066619204 is an abundant number, since it is smaller than the sum of its proper divisors (17369522803).

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

11066619204 is an equidigital number, since it uses as much as digits as its factorization.

11066619204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 11066619204 by its sum of digits (36), we get a square (398398291344 = 6311882).

11066619204 divided by its sum of digits (36) gives a square (307406089 = 175332).

The spelling of 11066619204 in words is "eleven billion, sixty-six million, six hundred nineteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 197 267 356 394 534 591 788 801 1068 1182 1602 1773 2364 3204 3546 7092 7921 15842 17533 23763 31684 35066 38809 47526 52599 70132 71289 77618 95052 105198 116427 142578 155236 157797 210396 232854 285156 315594 349281 465708 631188 698562 1397124 1560437 3120874 3454001 4681311 6241748 6908002 9362622 10362003 13816004 14043933 18725244 20724006 28087866 31086009 41448012 56175732 62172018 124344036 307406089 614812178 922218267 1229624356 1844436534 2766654801 3688873068 5533309602 11066619204