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425204546646 = 2311231033896991
BaseRepresentation
bin1100011000000000010…
…10100111110001010110
31111122112020101000001110
412030000022213301112
523431304330443041
6523200345035450
742501652004205
oct6140012476126
91448466330043
10425204546646
11154367977340
126a4a8185b86
1331134361479
141681979323c
15b0d9522516
hex63002a7c56

425204546646 has 128 divisors (see below), whose sum is σ = 980106117120. Its totient is φ = 121719945600.

The previous prime is 425204546629. The next prime is 425204546651. The reversal of 425204546646 is 646645402524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 425204546595 and 425204546604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60818211 + ... + 60825201.

It is an arithmetic number, because the mean of its divisors is an integer number (7657079040).

Almost surely, 2425204546646 is an apocalyptic number.

425204546646 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 425204546646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490053058560).

425204546646 is an abundant number, since it is smaller than the sum of its proper divisors (554901570474).

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

425204546646 is a wasteful number, since it uses less digits than its factorization.

425204546646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522.

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 425204546646 in words is "four hundred twenty-five billion, two hundred four million, five hundred forty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 103 138 206 253 309 389 506 618 759 778 1133 1167 1518 2266 2334 2369 3399 4279 4738 6798 6991 7107 8558 8947 12837 13982 14214 17894 20973 25674 26059 26841 40067 41946 52118 53682 76901 78177 80134 98417 120201 153802 156354 160793 196834 230703 240402 295251 321586 440737 461406 482379 590502 720073 881474 921541 964758 1322211 1440146 1768723 1843082 2160219 2644422 2719499 2764623 3537446 4320438 5306169 5438998 5529246 7920803 8158497 10136951 10612338 15841606 16316994 16561679 20273902 23762409 29914489 30410853 33123358 47524818 49685037 59828978 60821706 62548477 89743467 99370074 125096954 179486934 182178469 187645431 280108397 364356938 375290862 546535407 560216794 688033247 840325191 1093070814 1376066494 1680650382 2064099741 3081192367 4128199482 6162384734 6442493131 9243577101 12884986262 18487154202 19327479393 38654958786 70867424441 141734848882 212602273323 425204546646