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42858350160 = 24351961715233
BaseRepresentation
bin100111111010100011…
…101000011001010000
311002121212112202210020
4213322203220121100
51200233214201120
631404443103440
73045032652123
oct477243503120
9132555482706
1042858350160
11171a346a8aa
128381211b80
1340702cc812
1421080603ba
1511ac8ea640
hex9fa8e8650

42858350160 has 160 divisors (see below), whose sum is σ = 140089426560. Its totient is φ = 10809114624.

The previous prime is 42858350099. The next prime is 42858350189. The reversal of 42858350160 is 6105385824.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2805904 + ... + 2821136.

It is an arithmetic number, because the mean of its divisors is an integer number (875558916).

Almost surely, 242858350160 is an apocalyptic number.

42858350160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42858350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70044713280).

42858350160 is an abundant number, since it is smaller than the sum of its proper divisors (97231076400).

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

42858350160 is a wasteful number, since it uses less digits than its factorization.

42858350160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 42858350160 in words is "forty-two billion, eight hundred fifty-eight million, three hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 617 760 912 1140 1234 1520 1851 2280 2468 3085 3702 4560 4936 6170 7404 9255 9872 11723 12340 14808 15233 18510 23446 24680 29616 30466 35169 37020 45699 46892 49360 58615 60932 70338 74040 76165 91398 93784 117230 121864 140676 148080 152330 175845 182796 187568 228495 234460 243728 281352 289427 304660 351690 365592 456990 468920 562704 578854 609320 703380 731184 868281 913980 937840 1157708 1218640 1406760 1447135 1736562 1827960 2315416 2813520 2894270 3473124 3655920 4341405 4630832 5788540 6946248 8682810 9398761 11577080 13892496 17365620 18797522 23154160 28196283 34731240 37595044 46993805 56392566 69462480 75190088 93987610 112785132 140981415 150380176 178576459 187975220 225570264 281962830 357152918 375950440 451140528 535729377 563925660 714305836 751900880 892882295 1071458754 1127851320 1428611672 1785764590 2142917508 2255702640 2678646885 2857223344 3571529180 4285835016 5357293770 7143058360 8571670032 10714587540 14286116720 21429175080 42858350160