Search a number
-
+
11472219423 = 3272592711627
BaseRepresentation
bin10101010111100110…
…00010110100011111
31002121112000010111200
422223303002310133
5141443342010143
65134213250543
7554202153600
oct125363026437
932545003450
1011472219423
114957850285
122282033a53
13110aa03a22
147ab8b3da7
1547226b1d3
hex2abcc2d1f

11472219423 has 72 divisors (see below), whose sum is σ = 19687599360. Its totient is φ = 6416716320.

The previous prime is 11472219373. The next prime is 11472219433. The reversal of 11472219423 is 32491227411.

11472219423 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 221 + 9 + 423 = 666.

It is not a de Polignac number, because 11472219423 - 218 = 11471957279 is a prime.

It is a super-3 number, since 3×114722194233 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11472219433) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7050336 + ... + 7051962.

It is an arithmetic number, because the mean of its divisors is an integer number (273438880).

Almost surely, 211472219423 is an apocalyptic number.

11472219423 is a deficient number, since it is larger than the sum of its proper divisors (8215379937).

11472219423 is a wasteful number, since it uses less digits than its factorization.

11472219423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11472219423 in words is "eleven billion, four hundred seventy-two million, two hundred nineteen thousand, four hundred twenty-three".

Divisors: 1 3 7 9 21 49 59 63 147 177 271 413 441 531 813 1239 1627 1897 2439 2891 3717 4881 5691 8673 11389 13279 14643 15989 17073 26019 34167 39837 47967 79723 95993 102501 111923 119511 143901 239169 287979 335769 440917 671951 717507 783461 863937 1007307 1322751 2015853 2350383 3086419 3968253 4703657 6047559 7051149 9259257 14110971 21604933 26014103 27777771 42332913 64814799 78042309 182098721 194444397 234126927 546296163 1274691047 1638888489 3824073141 11472219423