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2850135160 = 2352337101829
BaseRepresentation
bin1010100111100001…
…1001110001111000
321100122000212102111
42221320121301320
521314113311120
61150452142104
7130425514645
oct25170316170
97318025374
102850135160
111232910804
12676607934
13365632012
141d0754dcc
1511a33e75a
hexa9e19c78

2850135160 has 128 divisors (see below), whose sum is σ = 6948892800. Its totient is φ = 1049241600.

The previous prime is 2850135151. The next prime is 2850135181. The reversal of 2850135160 is 615310582.

2850135160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437626 + ... + 3438454.

It is an arithmetic number, because the mean of its divisors is an integer number (54288225).

Almost surely, 22850135160 is an apocalyptic number.

2850135160 is a gapful number since it is divisible by the number (20) 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 2850135160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474446400).

2850135160 is an abundant number, since it is smaller than the sum of its proper divisors (4098757640).

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

2850135160 is a wasteful number, since it uses less digits than its factorization.

2850135160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2850135160 is about 53386.6571345313. The cubic root of 2850135160 is about 1417.8223515101.

The spelling of 2850135160 in words is "two billion, eight hundred fifty million, one hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 101 115 148 184 185 202 230 296 370 404 460 505 740 808 829 851 920 1010 1480 1658 1702 2020 2323 3316 3404 3737 4040 4145 4255 4646 6632 6808 7474 8290 8510 9292 11615 14948 16580 17020 18584 18685 19067 23230 29896 30673 33160 34040 37370 38134 46460 61346 74740 76268 83729 85951 92920 95335 122692 149480 152536 153365 167458 171902 190670 245384 306730 334916 343804 381340 418645 429755 613460 669832 687608 705479 762680 837290 859510 1226920 1410958 1674580 1719020 1925767 2821916 3097973 3349160 3438040 3527395 3851534 5643832 6195946 7054790 7703068 9628835 12391892 14109580 15406136 15489865 19257670 24783784 28219160 30979730 38515340 61959460 71253379 77030680 123918920 142506758 285013516 356266895 570027032 712533790 1425067580 2850135160