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10382565263532 = 22371121021503863
BaseRepresentation
bin1001011100010110000100…
…0111010100100010101100
31100202120012211021020120220
42113011201013110202230
52330101443201413112
634025403514211340
72121054434415660
oct227054107244254
940676184236526
1010382565263532
113343248466900
1211b8264123b50
135a40c16bc047
1427c7399a88a0
1513011addd98c
hex971611d48ac

10382565263532 has 72 divisors (see below), whose sum is σ = 30432643116288. Its totient is φ = 2696770195680.

The previous prime is 10382565263531. The next prime is 10382565263537. The reversal of 10382565263532 is 23536256528301.

It is a super-2 number, since 2×103825652635322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10382565263531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510741768 + ... + 510762095.

Almost surely, 210382565263532 is an apocalyptic number.

10382565263532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10382565263532 is an abundant number, since it is smaller than the sum of its proper divisors (20050077852756).

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

10382565263532 is a wasteful number, since it uses less digits than its factorization.

10382565263532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021503899 (or 1021503886 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 10382565263532 in words is "ten trillion, three hundred eighty-two billion, five hundred sixty-five million, two hundred sixty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 1021503863 2043007726 3064511589 4086015452 6129023178 7150527041 11236542493 12258046356 14301054082 21451581123 22473084986 28602108164 33709627479 42903162246 44946169972 67419254958 78655797451 85806324492 123601967423 134838509916 157311594902 235967392353 247203934846 314623189804 370805902269 471934784706 494407869692 741611804538 865213771961 943869569412 1483223609076 1730427543922 2595641315883 3460855087844 5191282631766 10382565263532