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63426120464 = 247372569727
BaseRepresentation
bin111011000100011111…
…011100101100010000
320001201021102202110202
4323010133130230100
52014344041323324
645045413514332
74403521062050
oct730437345420
9201637382422
1063426120464
1124998434083
12103613429a8
135c9a4ca1c5
1430d98dd560
1519b34198ae
hexec47dcb10

63426120464 has 120 divisors (see below), whose sum is σ = 144794482560. Its totient is φ = 26365160448.

The previous prime is 63426120449. The next prime is 63426120503. The reversal of 63426120464 is 46402162436.

63426120464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×634261204642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87243269 + ... + 87243995.

It is an arithmetic number, because the mean of its divisors is an integer number (1206620688).

Almost surely, 263426120464 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 63426120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72397241280).

63426120464 is an abundant number, since it is smaller than the sum of its proper divisors (81368362096).

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

63426120464 is a wasteful number, since it uses less digits than its factorization.

63426120464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 63426120464 in words is "sixty-three billion, four hundred twenty-six million, one hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 569 592 727 1036 1138 1369 1454 2072 2276 2738 2908 3983 4144 4552 5089 5476 5816 7966 9104 9583 10178 10952 11632 15932 19166 20356 21053 21904 26899 31864 38332 40712 42106 53798 63728 76664 81424 84212 107596 147371 153328 168424 188293 215192 294742 336848 376586 413663 430384 589484 753172 778961 827326 995263 1178968 1506344 1557922 1654652 1990526 2357936 2895641 3012688 3115844 3309304 3981052 5452727 5791282 6231688 6618608 6966841 7962104 10905454 11582564 12463376 13933682 15305531 15924208 21810908 23165128 27867364 30611062 43621816 46330256 55734728 61222124 87243632 107138717 111469456 122444248 214277434 244888496 428554868 566304647 857109736 1132609294 1714219472 2265218588 3964132529 4530437176 7928265058 9060874352 15856530116 31713060232 63426120464