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12829082454 = 235199714323
BaseRepresentation
bin10111111001010110…
…00100001101010110
31020010002011220200000
423330223010031112
5202233221114304
65521003432130
7632626254516
oct137453041526
936102156600
1012829082454
115493756591
1225a0525646
131295b5ab66
14899b97846
1550143e939
hex2fcac4356

12829082454 has 96 divisors (see below), whose sum is σ = 30657943680. Its totient is φ = 4009243392.

The previous prime is 12829082417. The next prime is 12829082467. The reversal of 12829082454 is 45428092821.

It is a super-2 number, since 2×128290824542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 888537 + ... + 902859.

It is an arithmetic number, because the mean of its divisors is an integer number (319353580).

Almost surely, 212829082454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829082454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328971840).

12829082454 is an abundant number, since it is smaller than the sum of its proper divisors (17828861226).

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

12829082454 is a wasteful number, since it uses less digits than its factorization.

12829082454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14456 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12829082454 in words is "twelve billion, eight hundred twenty-nine million, eighty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 97 114 162 171 194 243 291 342 486 513 582 873 1026 1539 1746 1843 2619 3078 3686 4617 5238 5529 7857 9234 11058 14323 15714 16587 23571 28646 33174 42969 47142 49761 85938 99522 128907 149283 257814 272137 298566 386721 447849 544274 773442 816411 895698 1160163 1389331 1632822 2320326 2449233 2778662 3480489 4167993 4898466 6960978 7347699 8335986 12503979 14695398 22043097 25007958 26397289 37511937 44086194 52794578 66129291 75023874 79191867 112535811 132258582 158383734 225071622 237575601 337607433 475151202 675214866 712726803 1425453606 2138180409 4276360818 6414541227 12829082454