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6002211144 = 23361267211
BaseRepresentation
bin1011001011100001…
…00111100101001000
3120111022012220210110
411211300213211020
544243031224034
62431332114320
7301511644566
oct54560474510
916438186713
106002211144
112600101086
1211b61659a0
13748691337
1440d226a36
15251e22de9
hex165c27948

6002211144 has 48 divisors (see below), whose sum is σ = 15255779760. Its totient is φ = 1967908800.

The previous prime is 6002211139. The next prime is 6002211167. The reversal of 6002211144 is 4411122006.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6002211144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55699 + ... + 122909.

It is an arithmetic number, because the mean of its divisors is an integer number (317828745).

Almost surely, 26002211144 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 6002211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627889880).

6002211144 is an abundant number, since it is smaller than the sum of its proper divisors (9253568616).

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

6002211144 is a wasteful number, since it uses less digits than its factorization.

6002211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67342 (or 67277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6002211144 is about 77473.9384825633. The cubic root of 6002211144 is about 1817.3437829339.

The spelling of 6002211144 in words is "six billion, two million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 3721 7442 11163 14884 22326 29768 44652 67211 89304 134422 201633 268844 403266 537688 806532 1613064 4099871 8199742 12299613 16399484 24599226 32798968 49198452 98396904 250092131 500184262 750276393 1000368524 1500552786 2000737048 3001105572 6002211144