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24427814436 = 22341924572
BaseRepresentation
bin10110110000000000…
…101101111000100100
32100001102020112210000
4112300000231320210
5400012010030221
615115540501300
71523225665614
oct266000557044
970042215700
1024427814436
11a3a59565a3
1248989aa830
1323c3b28b8c
14127a3a0a44
1597e84ae26
hex5b002de24

24427814436 has 135 divisors (see below), whose sum is σ = 67544834049. Its totient is φ = 7697166912.

The previous prime is 24427814419. The next prime is 24427814459. The reversal of 24427814436 is 63441872442.

The square root of 24427814436 is 156294.

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., 21126622500 + 3301191936 = 145350^2 + 57456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24427814391 and 24427814400.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53452320 + ... + 53452776.

Almost surely, 224427814436 is an apocalyptic number.

24427814436 is the 156294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24427814436

24427814436 is an abundant number, since it is smaller than the sum of its proper divisors (43117019613).

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

24427814436 is an equidigital number, since it uses as much as digits as its factorization.

24427814436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 481 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 24427814436 in words is "twenty-four billion, four hundred twenty-seven million, eight hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 457 513 684 722 914 1026 1083 1371 1444 1539 1828 2052 2166 2742 3078 3249 4113 4332 5484 6156 6498 8226 8683 9747 12339 12996 16452 17366 19494 24678 26049 29241 34732 37017 38988 49356 52098 58482 74034 78147 104196 116964 148068 156294 164977 208849 234441 312588 329954 417698 468882 494931 626547 659908 703323 835396 937764 989862 1253094 1406646 1484793 1879641 1979724 2506188 2813292 2969586 3759282 3968131 4454379 5638923 5939172 7518564 7936262 8908758 11277846 11904393 13363137 15872524 16916769 17817516 22555692 23808786 26726274 33833538 35713179 47617572 53452548 67667076 71426358 75394489 107139537 142852716 150788978 214279074 226183467 301577956 321418611 428558148 452366934 642837222 678550401 904733868 1285674444 1357100802 2035651203 2714201604 4071302406 6106953609 8142604812 12213907218 24427814436