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11424531204 = 223219234715451
BaseRepresentation
bin10101010001111010…
…01000001100000100
31002111012021022120100
422220331020030010
5141344134444304
65125351204100
7553052625102
oct125075101404
932435238510
1011424531204
114932939429
12226a076630
131100b77948
147a541cc72
1546ce9b439
hex2a8f48304

11424531204 has 144 divisors (see below), whose sum is σ = 32397281280. Its totient is φ = 3377246400.

The previous prime is 11424531203. The next prime is 11424531241. The reversal of 11424531204 is 40213542411.

11424531204 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 453 + 1 + 204 = 666.

It is not an unprimeable number, because it can be changed into a prime (11424531203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731679 + ... + 747129.

It is an arithmetic number, because the mean of its divisors is an integer number (224981120).

Almost surely, 211424531204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424531204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198640640).

11424531204 is an abundant number, since it is smaller than the sum of its proper divisors (20972750076).

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

11424531204 is a wasteful number, since it uses less digits than its factorization.

11424531204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 11424531204 in words is "eleven billion, four hundred twenty-four million, five hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 47 57 69 76 92 94 114 138 141 171 188 207 228 276 282 342 414 423 437 564 684 828 846 874 893 1081 1311 1692 1748 1786 2162 2622 2679 3243 3572 3933 4324 5244 5358 6486 7866 8037 9729 10716 12972 15451 15732 16074 19458 20539 30902 32148 38916 41078 46353 61617 61804 82156 92706 123234 139059 184851 185412 246468 278118 293569 355373 369702 556236 587138 710746 726197 739404 880707 1066119 1174276 1421492 1452394 1761414 2132238 2178591 2642121 2904788 3198357 3522828 4264476 4357182 5284242 6396714 6535773 6752087 8714364 10568484 12793428 13071546 13504174 13797743 16702531 20256261 26143092 27008348 27595486 33405062 40512522 41393229 50107593 55190972 60768783 66810124 81025044 82786458 100215186 121537566 124179687 150322779 165572916 200430372 243075132 248359374 300645558 317348089 496718748 601291116 634696178 952044267 1269392356 1904088534 2856132801 3808177068 5712265602 11424531204