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12426536221164 = 223213171968779337
BaseRepresentation
bin1011010011010100011101…
…0001101111100111101100
31121222222001200020011212100
42310311013101233213230
53112044021233034124
642232401045335100
72421534103041552
oct264650721574754
947888050204770
1012426536221164
113a6107881299a
121488419a07490
136c1a818c9230
1430d63a179bd2
151683992dd1c9
hexb4d4746f9ec

12426536221164 has 144 divisors (see below), whose sum is σ = 35819934067008. Its totient is φ = 3598406774784.

The previous prime is 12426536221163. The next prime is 12426536221171. The reversal of 12426536221164 is 46112263562421.

It is a happy number.

12426536221164 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 5 + 3 + 622 + 1 + 16 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12426536221163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156590104 + ... + 156669440.

It is an arithmetic number, because the mean of its divisors is an integer number (248749542132).

Almost surely, 212426536221164 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 12426536221164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909967033504).

12426536221164 is an abundant number, since it is smaller than the sum of its proper divisors (23393397845844).

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

12426536221164 is a wasteful number, since it uses less digits than its factorization.

12426536221164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99064 (or 99059 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

Adding to 12426536221164 its reverse (46112263562421), we get a palindrome (58538799783585).

The spelling of 12426536221164 in words is "twelve trillion, four hundred twenty-six billion, five hundred thirty-six million, two hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 19687 39374 59061 78748 79337 118122 158674 177183 236244 238011 255931 317348 334679 354366 476022 511862 669358 708732 714033 767793 952044 1004037 1023724 1031381 1338716 1348729 1428066 1535586 2008074 2062762 2303379 2697458 2856132 3012111 3071172 3094143 4016148 4046187 4125524 4350827 4606758 5394916 6024222 6188286 8092374 8701654 9213516 9282429 12048444 12138561 12376572 13052481 16184748 17403308 17533477 18564858 24277122 26104962 35066954 37129716 39157443 48554244 52209924 52600431 70133908 78314886 105200862 156629772 157801293 210401724 315602586 631205172 1561907519 3123815038 4685722557 6247630076 9371445114 14057167671 18742890228 20304797747 26552427823 28114335342 40609595494 53104855646 56228670684 60914393241 79657283469 81219190988 106209711292 121828786482 159314566938 182743179723 238971850407 243657572964 318629133876 345181561699 365486359446 477943700814 690363123398 730972718892 955887401628 1035544685097 1380726246796 2071089370194 3106634055291 4142178740388 6213268110582 12426536221164