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420236434186836 = 2232971125171358801
BaseRepresentation
bin101111110001100111110101…
…1011000011010001001010100
32001002221012200122100202201020
41133203033223120122021110
5420040123204122434321
64045433541442201140
7154342036410254301
oct13743175330321124
92032835618322636
10420236434186836
1111199a2a8614743
123b1707776531b0
1315064183232997
1475ab7a27440a8
15338b4a9d634c6
hex17e33eb61a254

420236434186836 has 96 divisors (see below), whose sum is σ = 1028733558209280. Its totient is φ = 133332847872000.

The previous prime is 420236434186753. The next prime is 420236434186843. The reversal of 420236434186836 is 638681434632024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420236434186836.

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, 308590636 + ... + 309949436.

It is an arithmetic number, because the mean of its divisors is an integer number (10715974564680).

Almost surely, 2420236434186836 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 420236434186836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514366779104640).

420236434186836 is an abundant number, since it is smaller than the sum of its proper divisors (608497124022444).

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

420236434186836 is a wasteful number, since it uses less digits than its factorization.

420236434186836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371425 (or 1371423 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 60.

The spelling of 420236434186836 in words is "four hundred twenty trillion, two hundred thirty-six billion, four hundred thirty-four million, one hundred eighty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 4118 6177 8236 12354 12517 24708 25034 37551 50068 75102 150204 362993 725986 888707 1088979 1358801 1451972 1777414 2177958 2666121 2717602 3554828 4076403 4355916 5332242 5435204 8152806 10664484 16305612 25772503 39405229 51545006 77317509 78810458 96474871 103090012 118215687 154635018 157620916 192949742 236431374 289424613 309270036 385899484 472862748 578849226 1157698452 2797771259 5595542518 8393313777 11191085036 16786627554 17008112117 33573255108 34016224234 51024336351 68032448468 102048672702 204097345404 493235251393 986470502786 1207575960307 1479705754179 1972941005572 2415151920614 2959411508358 3622727880921 4830303841228 5918823016716 7245455761842 14490911523684 35019702848903 70039405697806 105059108546709 140078811395612 210118217093418 420236434186836