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12045324024 = 2334177913841
BaseRepresentation
bin10110011011111010…
…10000111011111000
31011002110101212020000
423031331100323320
5144132100332044
65311125033000
7604331364516
oct131575207370
934073355200
1012045324024
1151212a9248
122401b55760
13119c673786
14823a594b6
154a7724d69
hex2cdf50ef8

12045324024 has 160 divisors (see below), whose sum is σ = 36177451200. Its totient is φ = 3730821120.

The previous prime is 12045324023. The next prime is 12045324061. The reversal of 12045324024 is 42042354021.

12045324024 is a `hidden beast` number, since 1 + 204 + 53 + 2 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045324023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 863344 + ... + 877184.

It is an arithmetic number, because the mean of its divisors is an integer number (226109070).

Almost surely, 212045324024 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 12045324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088725600).

12045324024 is an abundant number, since it is smaller than the sum of its proper divisors (24132127176).

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

12045324024 is a wasteful number, since it uses less digits than its factorization.

12045324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13955 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12045324024 its reverse (42042354021), we get a palindrome (54087678045).

The spelling of 12045324024 in words is "twelve billion, forty-five million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 79 81 102 108 136 153 158 162 204 216 237 306 316 324 408 459 474 612 632 648 711 918 948 1224 1343 1377 1422 1836 1896 2133 2686 2754 2844 3672 4029 4266 5372 5508 5688 6399 8058 8532 10744 11016 12087 12798 13841 16116 17064 24174 25596 27682 32232 36261 41523 48348 51192 55364 72522 83046 96696 108783 110728 124569 145044 166092 217566 235297 249138 290088 332184 373707 435132 470594 498276 705891 747414 870264 941188 996552 1093439 1121121 1411782 1494828 1882376 2117673 2186878 2242242 2823564 2989656 3280317 4235346 4373756 4484484 5647128 6353019 6560634 8470692 8747512 8968968 9840951 12706038 13121268 16941384 18588463 19059057 19681902 25412076 26242536 29522853 37176926 38118114 39363804 50824152 55765389 59045706 74353852 76236228 78727608 88568559 111530778 118091412 148707704 152472456 167296167 177137118 223061556 236182824 334592334 354274236 446123112 501888501 669184668 708548472 1003777002 1338369336 1505665503 2007554004 3011331006 4015108008 6022662012 12045324024