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12540332558004 = 223232231213167971
BaseRepresentation
bin1011011001111100011000…
…0100010100011010110100
31122101211210100010001100120
42312133012010110122310
53120430100113324004
642400541012011540
72433003062663466
oct266370604243264
948354710101316
1012540332558004
113aa5363892069
1214a6498000bb0
136cc71877a0a4
14314d5361a136
1516b30982b3d9
hexb67c61146b4

12540332558004 has 96 divisors (see below), whose sum is σ = 30695369908224. Its totient is φ = 3977131847040.

The previous prime is 12540332557993. The next prime is 12540332558021. The reversal of 12540332558004 is 40085523304521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74573739 + ... + 74741709.

It is an arithmetic number, because the mean of its divisors is an integer number (319743436544).

Almost surely, 212540332558004 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 12540332558004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347684954112).

12540332558004 is an abundant number, since it is smaller than the sum of its proper divisors (18155037350220).

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

12540332558004 is a wasteful number, since it uses less digits than its factorization.

12540332558004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169437 (or 169435 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 12540332558004 in words is "twelve trillion, five hundred forty billion, three hundred thirty-two million, five hundred fifty-eight thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 223 276 446 669 892 1213 1338 2426 2676 3639 4852 5129 7278 10258 14556 15387 20516 27899 30774 55798 61548 83697 111596 167394 167971 270499 334788 335942 503913 540998 671884 811497 1007826 1081996 1622994 2015652 3245988 3863333 6221477 7726666 11589999 12442954 15453332 18664431 23179998 24885908 37328862 37457533 46359996 74657724 74915066 112372599 149830132 203748823 224745198 407497646 449490396 611246469 814995292 861523259 1222492938 1723046518 2444985876 2584569777 3446093036 4686222929 5169139554 9372445858 10338279108 14058668787 18744891716 28117337574 45435987529 56234675148 90871975058 136307962587 181743950116 272615925174 545231850348 1045027713167 2090055426334 3135083139501 4180110852668 6270166279002 12540332558004