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42005200510 = 25721329227387
BaseRepresentation
bin100111000111101101…
…000111111001111110
311000102102012021111001
4213013231013321332
51142011312404020
631144045120514
73014633212300
oct470755077176
9130372167431
1042005200510
11168a5927949
12818355913a
133c6562aa40
142066a1b970
15115ca7550a
hex9c7b47e7e

42005200510 has 96 divisors (see below), whose sum is σ = 97986036960. Its totient is φ = 12835484928.

The previous prime is 42005200507. The next prime is 42005200529. The reversal of 42005200510 is 1500250024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71037 + ... + 298423.

It is an arithmetic number, because the mean of its divisors is an integer number (1020687885).

Almost surely, 242005200510 is an apocalyptic number.

42005200510 is an abundant number, since it is smaller than the sum of its proper divisors (55980836450).

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

42005200510 is a wasteful number, since it uses less digits than its factorization.

42005200510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227450 (or 227443 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 42005200510 its reverse (1500250024), we get a palindrome (43505450534).

The spelling of 42005200510 in words is "forty-two billion, five million, two hundred thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 29 35 49 58 65 70 91 98 130 145 182 203 245 290 377 406 455 490 637 754 910 1015 1274 1421 1885 2030 2639 2842 3185 3770 5278 6370 7105 13195 14210 18473 26390 36946 92365 184730 227387 454774 1136935 1591709 2273870 2956031 3183418 5912062 6594223 7958545 11141963 13188446 14780155 15917090 20692217 22283926 29560310 32971115 41384434 46159561 55709815 65942230 85724899 92319122 103461085 111419630 144845519 171449798 206922170 230797805 289691038 323116927 428624495 461595610 600074293 646233854 724227595 857248990 1200148586 1448455190 1615584635 3000371465 3231169270 4200520051 6000742930 8401040102 21002600255 42005200510