Search a number
-
+
11994977324 = 22113192792
BaseRepresentation
bin10110010101111010…
…01101010000101100
31010221221122222112102
423022331031100230
5144031203233244
65302125554232
7603150424241
oct131275152054
933857588472
1011994977324
1150a5941000
1223a9115978
1311920c6625
1481b0b15c8
154a30cc54e
hex2caf4d42c

11994977324 has 108 divisors (see below), whose sum is σ = 24680268648. Its totient is φ = 5099917680.

The previous prime is 11994977311. The next prime is 11994977327. The reversal of 11994977324 is 42377949911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11994977324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×119949773243 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11994977324.

It is not an unprimeable number, because it can be changed into a prime (11994977327) 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 35 ways as a sum of consecutive naturals, for example, 151835117 + ... + 151835195.

It is an arithmetic number, because the mean of its divisors is an integer number (228521006).

Almost surely, 211994977324 is an apocalyptic number.

It is an amenable number.

11994977324 is an abundant number, since it is smaller than the sum of its proper divisors (12685291324).

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

11994977324 is an equidigital number, since it uses as much as digits as its factorization.

11994977324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 111 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 56.

The spelling of 11994977324 in words is "eleven billion, nine hundred ninety-four million, nine hundred seventy-seven thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 79 121 158 209 242 316 361 418 484 722 836 869 1331 1444 1501 1738 2299 2662 3002 3476 3971 4598 5324 6004 6241 7942 9196 9559 12482 15884 16511 19118 24964 25289 28519 33022 38236 43681 50578 57038 66044 68651 87362 101156 105149 114076 118579 137302 174724 181621 210298 237158 274604 313709 363242 420596 474316 480491 627418 726484 755161 960982 1254836 1304369 1510322 1921964 1997831 2253001 2608738 3020644 3450799 3995662 4506002 5217476 6901598 7991324 8306771 9012004 13803196 14348059 16613542 24783011 28696118 33227084 37958789 49566022 57392236 75917578 99132044 151835156 157828649 272613121 315657298 545226242 631314596 1090452484 2998744331 5997488662 11994977324