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11239816324 = 22112612792
BaseRepresentation
bin10100111011111000…
…11111110010000100
31002000022200211101111
422131330133302010
5141004343110244
65055152134404
7545350601542
oct123574376204
932008624344
1011239816324
114848646400
122218237404
1310a18129b9
14788a98d92
1545bb60e34
hex29df1fc84

11239816324 has 81 divisors (see below), whose sum is σ = 22262391333. Its totient is φ = 4961642400.

The previous prime is 11239816309. The next prime is 11239816331. The reversal of 11239816324 is 42361893211.

It is a happy number.

The square root of 11239816324 is 106018.

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., 365497924 + 10874318400 = 19118^2 + 104280^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 142276117 + ... + 142276195.

Almost surely, 211239816324 is an apocalyptic number.

11239816324 is the 106018-th square number.

It is an amenable number.

11239816324 is a deficient number, since it is larger than the sum of its proper divisors (11022575009).

11239816324 is an equidigital number, since it uses as much as digits as its factorization.

11239816324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The spelling of 11239816324 in words is "eleven billion, two hundred thirty-nine million, eight hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 61 79 121 122 158 242 244 316 484 671 869 1342 1738 2684 3476 3721 4819 6241 7381 7442 9559 9638 12482 14762 14884 19118 19276 24964 29524 38236 40931 53009 68651 81862 106018 137302 163724 212036 274604 293959 380701 450241 583099 587918 755161 761402 900482 1166198 1175836 1510322 1522804 1800964 2332396 3020644 3233549 4187711 6467098 8375422 12934196 16750844 23222761 35569039 46064821 46445522 71138078 92129642 92891044 142276156 184259284 255450371 510900742 1021801484 2809954081 5619908162 11239816324