Search a number
-
+
426065600532 = 2231113240147629
BaseRepresentation
bin1100011001100110111…
…11010010000000010100
31111201202020121001221010
412030303133102000110
523440040243204112
6523422024252220
742532205564325
oct6146337220024
91451666531833
10426065600532
11154769a18920
126a6a8611070
133124086cc00
141689bc9244c
15b139e0963c
hex63337d2014

426065600532 has 144 divisors (see below), whose sum is σ = 1177326722880. Its totient is φ = 118879488000.

The previous prime is 426065600531. The next prime is 426065600557. The reversal of 426065600532 is 235006560624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426065600531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8921694 + ... + 8969322.

It is an arithmetic number, because the mean of its divisors is an integer number (8175880020).

Almost surely, 2426065600532 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 426065600532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588663361440).

426065600532 is an abundant number, since it is smaller than the sum of its proper divisors (751261122348).

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

426065600532 is a wasteful number, since it uses less digits than its factorization.

426065600532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48074 (or 48059 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 426065600532 in words is "four hundred twenty-six billion, sixty-five million, six hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 401 429 507 572 676 802 858 1014 1203 1604 1716 1859 2028 2406 3718 4411 4812 5213 5577 7436 8822 10426 11154 13233 15639 17644 20852 22308 26466 31278 47629 52932 57343 62556 67769 95258 114686 135538 142887 172029 190516 203307 229372 271076 285774 344058 406614 523919 571548 619177 688116 745459 813228 1047838 1238354 1490918 1571757 1857531 2095676 2236377 2476708 2981836 3143514 3715062 4472754 6287028 6810947 7430124 8049301 8945508 13621894 16098602 19099229 20432841 24147903 27243788 32197204 38198458 40865682 48295806 57297687 76396916 81731364 88542311 96591612 114595374 177084622 210091519 229190748 248289977 265626933 354169244 420183038 496579954 531253866 630274557 744869931 840366076 993159908 1062507732 1260549114 1489739862 2521098228 2731189747 2979479724 3227769701 5462379494 6455539402 8193569241 9683309103 10924758988 12911078804 16387138482 19366618206 32774276964 35505466711 38733236412 71010933422 106516400133 142021866844 213032800266 426065600532