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6006066032 = 248914928307
BaseRepresentation
bin1011001011111110…
…10100101101110000
3120111120110202201002
411211333110231300
544300023103112
62431550501132
7301556501411
oct54577245560
916446422632
106006066032
1126022a433a
1211b75047a8
13749410b35
1440d94b808
152524351c2
hex165fd4b70

6006066032 has 40 divisors (see below), whose sum is σ = 11846898000. Its totient is φ = 2949258752.

The previous prime is 6006066029. The next prime is 6006066043. The reversal of 6006066032 is 2306606006.

It is a junction number, because it is equal to n+sod(n) for n = 6006065986 and 6006066004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198023 + ... + 226329.

It is an arithmetic number, because the mean of its divisors is an integer number (296172450).

Almost surely, 26006066032 is an apocalyptic number.

It is an amenable number.

6006066032 is a deficient number, since it is larger than the sum of its proper divisors (5840831968).

6006066032 is a wasteful number, since it uses less digits than its factorization.

6006066032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28553 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 6006066032 is about 77498.8131005888. The cubic root of 6006066032 is about 1817.7327594474.

The spelling of 6006066032 in words is "six billion, six million, sixty-six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 89 149 178 298 356 596 712 1192 1424 2384 13261 26522 28307 53044 56614 106088 113228 212176 226456 452912 2519323 4217743 5038646 8435486 10077292 16870972 20154584 33741944 40309168 67483888 375379127 750758254 1501516508 3003033016 6006066032