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20024410032 = 2433112383081
BaseRepresentation
bin10010101001100011…
…000011111110110000
31220200112110102112000
4102221203003332300
5312002222110112
613111000334000
71306136451114
oct225143037660
956615412460
1020024410032
118546291700
123a6a174300
131b71773443
14d7d63b744
157c2e8d7dc
hex4a98c3fb0

20024410032 has 120 divisors (see below), whose sum is σ = 63177883440. Its totient is φ = 6067987200.

The previous prime is 20024410001. The next prime is 20024410039. The reversal of 20024410032 is 23001442002.

20024410032 is a `hidden beast` number, since 200 + 24 + 410 + 0 + 32 = 666.

It is a super-3 number, since 3×200244100323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20024409987 and 20024410014.

It is not an unprimeable number, because it can be changed into a prime (20024410039) 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 23 ways as a sum of consecutive naturals, for example, 139269 + ... + 243812.

It is an arithmetic number, because the mean of its divisors is an integer number (526482362).

Almost surely, 220024410032 is an apocalyptic number.

20024410032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20024410032 is an abundant number, since it is smaller than the sum of its proper divisors (43153473408).

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

20024410032 is a wasteful number, since it uses less digits than its factorization.

20024410032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383120 (or 383097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20024410032 its reverse (23001442002), we get a palindrome (43025852034).

It can be divided in two parts, 200244 and 10032, that added together give a triangular number (210276 = T648).

The spelling of 20024410032 in words is "twenty billion, twenty-four million, four hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 52272 383081 766162 1149243 1532324 2298486 3064648 3447729 4213891 4596972 6129296 6895458 8427782 9193944 10343187 12641673 13790916 16855564 18387888 20686374 25283346 27581832 33711128 37925019 41372748 46352801 50566692 55163664 67422256 75850038 82745496 92705602 101133384 113775057 139058403 151700076 165490992 185411204 202266768 227550114 278116806 303400152 370822408 417175209 455100228 556233612 606800304 741644816 834350418 910200456 1112467224 1251525627 1668700836 1820400912 2224934448 2503051254 3337401672 5006102508 6674803344 10012205016 20024410032