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6006550020 = 2235414335639
BaseRepresentation
bin1011001100000010…
…01010111000000100
3120111121101100121120
411212001022320010
544300134100040
62432005113540
7301563555432
oct54601127004
916447340546
106006550020
1126025a4a29
1211b76b88b0
13749550213
1440da35d52
152524cd7d0
hex16604ae04

6006550020 has 96 divisors (see below), whose sum is σ = 17271394560. Its totient is φ = 1558794240.

The previous prime is 6006550019. The next prime is 6006550079. The reversal of 6006550020 is 200556006.

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, 1062361 + ... + 1067999.

It is an arithmetic number, because the mean of its divisors is an integer number (179910360).

Almost surely, 26006550020 is an apocalyptic number.

6006550020 is a gapful number since it is divisible by the number (60) 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 6006550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635697280).

6006550020 is an abundant number, since it is smaller than the sum of its proper divisors (11264844540).

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

6006550020 is a wasteful number, since it uses less digits than its factorization.

6006550020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 6006550020 is about 77501.9355887322. The cubic root of 6006550020 is about 1817.7815843748.

The spelling of 6006550020 in words is "six billion, six million, five hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 433 492 615 820 866 1230 1299 1732 2165 2460 2598 4330 5196 5639 6495 8660 11278 12990 16917 17753 22556 25980 28195 33834 35506 53259 56390 67668 71012 84585 88765 106518 112780 169170 177530 213036 231199 266295 338340 355060 462398 532590 693597 924796 1065180 1155995 1387194 2311990 2441687 2774388 3467985 4623980 4883374 6935970 7325061 9766748 12208435 13871940 14650122 24416870 29300244 36625305 48833740 73250610 100109167 146501220 200218334 300327501 400436668 500545835 600655002 1001091670 1201310004 1501637505 2002183340 3003275010 6006550020