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6009028368 = 2437212720117
BaseRepresentation
bin1011001100010101…
…00111111100010000
3120111210001021021020
411212022213330100
544301302401433
62432134155440
7301623620100
oct54612477420
916453037236
106009028368
112603a37a52
1211b84b2b80
13749c0a2b5
144100bd200
1525281ccb3
hex1662a7f10

6009028368 has 120 divisors (see below), whose sum is σ = 18200835072. Its totient is φ = 1703261952.

The previous prime is 6009028357. The next prime is 6009028373. The reversal of 6009028368 is 8638209006.

It is a super-2 number, since 2×60090283682 = 72216843854857486848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288646 + ... + 308762.

Almost surely, 26009028368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100417536).

6009028368 is an abundant number, since it is smaller than the sum of its proper divisors (12191806704).

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

6009028368 is a wasteful number, since it uses less digits than its factorization.

6009028368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20269 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6009028368 is about 77517.9228823889. The cubic root of 6009028368 is about 1818.0315601439.

The spelling of 6009028368 in words is "six billion, nine million, twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 508 588 762 784 889 1016 1176 1524 1778 2032 2352 2667 3048 3556 5334 6096 6223 7112 10668 12446 14224 18669 20117 21336 24892 37338 40234 42672 49784 60351 74676 80468 99568 120702 140819 149352 160936 241404 281638 298704 321872 422457 482808 563276 844914 965616 985733 1126552 1689828 1971466 2253104 2554859 2957199 3379656 3942932 5109718 5914398 6759312 7664577 7885864 10219436 11828796 15329154 15771728 17884013 20438872 23657592 30658308 35768026 40877744 47315184 53652039 61316616 71536052 107304078 122633232 125188091 143072104 214608156 250376182 286144208 375564273 429216312 500752364 751128546 858432624 1001504728 1502257092 2003009456 3004514184 6009028368