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431630026432436 = 221323143727658871
BaseRepresentation
bin110001000100100001011001…
…0011001100101111110110100
32002121021102112200021011110102
41202021002302121211332310
5423033311243231314221
64130000032521413232
7156626145300364136
oct14211026231457664
92077242480234412
10431630026432436
111155922a2393257
12404b095a63a218
13156ac6c95a1300
14788300d04b056
1534d7a4a5d730b
hex18890b2665fb4

431630026432436 has 144 divisors (see below), whose sum is σ = 865135664160768. Its totient is φ = 188044871414400.

The previous prime is 431630026432417. The next prime is 431630026432459. The reversal of 431630026432436 is 634234620036134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654776081 + ... + 655434951.

It is an arithmetic number, because the mean of its divisors is an integer number (6007886556672).

Almost surely, 2431630026432436 is an apocalyptic number.

It is an amenable number.

431630026432436 is an abundant number, since it is smaller than the sum of its proper divisors (433505637728332).

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

431630026432436 is a wasteful number, since it uses less digits than its factorization.

431630026432436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659702 (or 659687 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 47.

The spelling of 431630026432436 in words is "four hundred thirty-one trillion, six hundred thirty billion, twenty-six million, four hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 31 43 52 62 86 124 169 172 338 403 559 676 727 806 1118 1333 1454 1612 2236 2666 2908 5239 5332 7267 9451 10478 14534 17329 18902 20956 22537 29068 31261 34658 37804 45074 62522 69316 90148 122863 125044 225277 245726 292981 406393 450554 491452 585962 658871 812786 901108 969091 1171924 1317742 1625572 1938182 2635484 3808753 3876364 5283109 7617506 8565323 10566218 12598183 15235012 17130646 20425001 21132436 25196366 28331453 34261292 40850002 50392732 56662906 81700004 111349199 113325812 163776379 222698398 265525013 327552758 368308889 445396796 478999217 531050026 655105516 736617778 878275043 957998434 1062100052 1473235556 1756550086 1915996868 3451825169 3513100172 4788015557 6226989821 6903650338 9576031114 11417575559 12453979642 13807300676 14848975727 19152062228 20596966331 22835151118 24907959284 29697951454 41193932662 45670302236 59395902908 80950867673 82387865324 148428482267 161901735346 193036684451 267760562303 296856964534 323803470692 386073368902 535521124606 593713929068 638505956261 772146737804 1071042249212 1277011912522 2509476897863 2554023825044 3480887309939 5018953795726 6961774619878 8300577431393 10037907591452 13923549239756 16601154862786 33202309725572 107907506608109 215815013216218 431630026432436