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42005050530 = 2353127120521
BaseRepresentation
bin100111000111101100…
…100011010010100010
311000102101220122202020
4213013230203102202
51142011243104110
631144042002310
73014632016112
oct470754432242
9130371818666
1042005050530
11168a58351a3
1281834a6396
133c655a76b1
1420669bd042
15115ca45d70
hex9c7b234a2

42005050530 has 96 divisors (see below), whose sum is σ = 105641345664. Its totient is φ = 10686816000.

The previous prime is 42005050517. The next prime is 42005050547. The reversal of 42005050530 is 3505050024.

It is a self number, because there is not a number n which added to its sum of digits gives 42005050530.

It is an unprimeable number.

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, 2036670 + ... + 2057190.

It is an arithmetic number, because the mean of its divisors is an integer number (1100430684).

Almost surely, 242005050530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005050530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52820672832).

42005050530 is an abundant number, since it is smaller than the sum of its proper divisors (63636295134).

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

42005050530 is a wasteful number, since it uses less digits than its factorization.

42005050530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 20633 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The spelling of 42005050530 in words is "forty-two billion, five million, fifty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 961 1065 1922 2130 2201 2883 4402 4805 5766 6603 9610 11005 13206 14415 20521 22010 28830 33015 41042 61563 66030 68231 102605 123126 136462 204693 205210 307815 341155 409386 615630 636151 682310 1023465 1272302 1456991 1908453 2046930 2913982 3180755 3816906 4370973 6361510 7284955 8741946 9542265 14569910 19084530 19720681 21854865 39441362 43709730 45166721 59162043 90333442 98603405 118324086 135500163 197206810 225833605 271000326 295810215 451667210 591620430 677500815 1355001630 1400168351 2800336702 4200505053 7000841755 8401010106 14001683510 21002525265 42005050530