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32421001032 = 2334749114557
BaseRepresentation
bin11110001100011100…
…010011011101001000
310002200110211111110000
4132030130103131020
51012344234013112
622521034323000
72225264650620
oct361434233510
9102613744400
1032421001032
111282789aa32
126349889460
133098b249a4
1417d7bb3880
15c9b44c7dc
hex78c713748

32421001032 has 160 divisors (see below), whose sum is σ = 104000022720. Its totient is φ = 9243642240.

The previous prime is 32421001021. The next prime is 32421001099. The reversal of 32421001032 is 23010012423.

It is a super-3 number, since 3×324210010323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 32421000996 and 32421001014.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2219898 + ... + 2234454.

It is an arithmetic number, because the mean of its divisors is an integer number (650000142).

Almost surely, 232421001032 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 32421001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52000011360).

32421001032 is an abundant number, since it is smaller than the sum of its proper divisors (71579021688).

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

32421001032 is a wasteful number, since it uses less digits than its factorization.

32421001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073 (or 15060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32421001032 its reverse (23010012423), we get a palindrome (55431013455).

The spelling of 32421001032 in words is "thirty-two billion, four hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 491 504 567 648 756 982 1134 1473 1512 1964 2268 2946 3437 3928 4419 4536 5892 6874 8838 10311 11784 13257 13748 14557 17676 20622 26514 27496 29114 30933 35352 39771 41244 43671 53028 58228 61866 79542 82488 87342 92799 101899 106056 116456 123732 131013 159084 174684 185598 203798 247464 262026 278397 305697 318168 349368 371196 393039 407596 524052 556794 611394 742392 786078 815192 917091 1048104 1113588 1179117 1222788 1572156 1834182 2227176 2358234 2445576 2751273 3144312 3668364 4716468 5502546 7147487 7336728 8253819 9432936 11005092 14294974 16507638 21442461 22010184 28589948 33015276 42884922 50032409 57179896 64327383 66030552 85769844 100064818 128654766 150097227 171539688 192982149 200129636 257309532 300194454 385964298 400259272 450291681 514619064 578946447 600388908 771928596 900583362 1157892894 1200777816 1350875043 1543857192 1801166724 2315785788 2701750086 3602333448 4052625129 4631571576 5403500172 8105250258 10807000344 16210500516 32421001032