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6066801664 = 21071176943
BaseRepresentation
bin1011010011001110…
…00000110000000000
3120122210202110022221
411221213000300000
544411100123124
62442000340424
7303224651260
oct55147006000
916583673287
106066801664
112633607980
121213914714
13758b87891
14417a3b7a0
15257930ce4
hex1699c0c00

6066801664 has 88 divisors (see below), whose sum is σ = 15120419328. Its totient is φ = 2363658240.

The previous prime is 6066801623. The next prime is 6066801677. The reversal of 6066801664 is 4661086606.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 6066801664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40377 + ... + 117319.

Almost surely, 26066801664 is an apocalyptic number.

6066801664 is a gapful number since it is divisible by the number (64) 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 6066801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560209664).

6066801664 is an abundant number, since it is smaller than the sum of its proper divisors (9053617664).

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

6066801664 is a wasteful number, since it uses less digits than its factorization.

6066801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76981 (or 76963 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 6066801664 is about 77889.6762350441. The cubic root of 6066801664 is about 1823.8394236398.

The spelling of 6066801664 in words is "six billion, sixty-six million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 19712 39424 76943 78848 153886 307772 538601 615544 846373 1077202 1231088 1692746 2154404 2462176 3385492 4308808 4924352 5924611 6770984 8617616 9848704 11849222 13541968 17235232 19697408 23698444 27083936 34470464 39394816 47396888 54167872 68940928 78789632 94793776 108335744 137881856 189587552 216671488 275763712 379175104 433342976 551527424 758350208 866685952 1516700416 3033400832 6066801664