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12030458538 = 2372417114057
BaseRepresentation
bin10110011010001001…
…00011101010101010
31011001102102121121110
423031010203222222
5144114244133123
65305434251150
7604061132100
oct131504435252
934042377543
1012030458538
11511397561a
1223b8b86ab6
13119956a427
14821aa9c70
154a628a493
hex2cd123aaa

12030458538 has 96 divisors (see below), whose sum is σ = 29077792128. Its totient is φ = 3305971200.

The previous prime is 12030458519. The next prime is 12030458563. The reversal of 12030458538 is 83585403021.

It is a super-3 number, since 3×120304585383 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12030458496 and 12030458505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848806 + ... + 862862.

It is an arithmetic number, because the mean of its divisors is an integer number (302893668).

Almost surely, 212030458538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030458538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538896064).

12030458538 is an abundant number, since it is smaller than the sum of its proper divisors (17047333590).

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

12030458538 is a wasteful number, since it uses less digits than its factorization.

12030458538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14188 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 12030458538 in words is "twelve billion, thirty million, four hundred fifty-eight thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 49 71 82 98 123 142 147 213 246 287 294 426 497 574 861 994 1491 1722 2009 2911 2982 3479 4018 5822 6027 6958 8733 10437 12054 14057 17466 20377 20874 28114 40754 42171 61131 84342 98399 122262 142639 196798 285278 295197 427917 576337 590394 688793 855834 998047 1152674 1377586 1729011 1996094 2066379 2994141 3458022 4034359 4132758 5988282 6986329 8068718 12103077 13972658 20958987 24206154 28240513 40919927 41917974 48904303 56481026 81839854 84721539 97808606 122759781 146712909 169443078 245519562 286439489 293425818 572878978 859318467 1718636934 2005076423 4010152846 6015229269 12030458538