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42050564262 = 2337167751887
BaseRepresentation
bin100111001010011010…
…001011000010100110
311000112120112222212000
4213022122023002212
51142104421024022
631152345310130
73016023620160
oct471232130246
9130476488760
1042050564262
11169194a1353
128196795346
133c71b51ab5
14206ca69930
151161a366ac
hex9ca68b0a6

42050564262 has 128 divisors (see below), whose sum is σ = 107698913280. Its totient is φ = 11913156000.

The previous prime is 42050564249. The next prime is 42050564323. The reversal of 42050564262 is 26246505024.

42050564262 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 0 + 5 + 642 + 6 + 2 = 666.

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, 47407183 + ... + 47408069.

It is an arithmetic number, because the mean of its divisors is an integer number (841397760).

Almost surely, 242050564262 is an apocalyptic number.

42050564262 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050564262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53849456640).

42050564262 is an abundant number, since it is smaller than the sum of its proper divisors (65648349018).

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

42050564262 is a wasteful number, since it uses less digits than its factorization.

42050564262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42050564262 in words is "forty-two billion, fifty million, five hundred sixty-four thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 167 189 334 378 501 751 887 1002 1169 1502 1503 1774 2253 2338 2661 3006 3507 4506 4509 5257 5322 6209 6759 7014 7983 9018 10514 10521 12418 13518 15771 15966 18627 20277 21042 23949 31542 31563 37254 40554 47313 47898 55881 63126 94626 111762 125417 141939 148129 167643 250834 283878 296258 335286 376251 444387 666137 752502 877919 888774 1036903 1128753 1332274 1333161 1755838 1998411 2073806 2257506 2633757 2666322 3110709 3386259 3996822 3999483 4662959 5267514 5995233 6221418 6772518 7901271 7998966 9325918 9332127 11990466 13988877 15802542 17985699 18664254 23703813 27977754 27996381 35971398 41966631 47407626 55992762 83933262 111244879 125899893 222489758 251799786 333734637 667469274 778714153 1001203911 1557428306 2002407822 2336142459 3003611733 4672284918 6007223466 7008427377 14016854754 21025282131 42050564262