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12540420504 = 23326114919163
BaseRepresentation
bin10111010110111011…
…11010000110011000
31012100222000100220200
423223131322012120
5201140321424004
65432212422200
7622522546503
oct135335720630
935328010820
1012540420504
115355816597
12251b917960
13124b0cc981
1486d6d613a
154d5e20239
hex2eb77a198

12540420504 has 96 divisors (see below), whose sum is σ = 34753914000. Its totient is φ = 4083805440.

The previous prime is 12540420493. The next prime is 12540420523. The reversal of 12540420504 is 40502404521.

It is a super-2 number, since 2×125404205042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 644827 + ... + 663989.

Almost surely, 212540420504 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 12540420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376957000).

12540420504 is an abundant number, since it is smaller than the sum of its proper divisors (22213493496).

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

12540420504 is a wasteful number, since it uses less digits than its factorization.

12540420504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19385 (or 19378 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 12540420504 in words is "twelve billion, five hundred forty million, four hundred twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 149 183 244 298 366 447 488 549 596 732 894 1098 1192 1341 1464 1788 2196 2682 3576 4392 5364 9089 10728 18178 19163 27267 36356 38326 54534 57489 72712 76652 81801 109068 114978 153304 163602 172467 218136 229956 327204 344934 459912 654408 689868 1168943 1379736 2337886 2855287 3506829 4675772 5710574 7013658 8565861 9351544 10520487 11421148 14027316 17131722 21040974 22842296 25697583 28054632 34263444 42081948 51395166 68526888 84163896 102790332 174172507 205580664 348345014 522517521 696690028 1045035042 1393380056 1567552563 2090070084 3135105126 4180140168 6270210252 12540420504