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6066793880 = 235728233761
BaseRepresentation
bin1011010011001101…
…11110110110011000
3120122210202001122122
411221212332312120
544411044401010
62442000240412
7303224616500
oct55146766630
916583661578
106066793880
112633602044
121213910108
13758b84184
14417a38a00
1525792d855
hex1699bed98

6066793880 has 96 divisors (see below), whose sum is σ = 15902425440. Its totient is φ = 2076963840.

The previous prime is 6066793849. The next prime is 6066793883. The reversal of 6066793880 is 883976606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066793883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1611200 + ... + 1614960.

It is an arithmetic number, because the mean of its divisors is an integer number (165650265).

Almost surely, 26066793880 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 6066793880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951212720).

6066793880 is an abundant number, since it is smaller than the sum of its proper divisors (9835631560).

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

6066793880 is a wasteful number, since it uses less digits than its factorization.

6066793880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 6066793880 is about 77889.6262669170. The cubic root of 6066793880 is about 1823.8386436147.

The spelling of 6066793880 in words is "six billion, sixty-six million, seven hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 823 980 1646 1960 3292 3761 4115 5761 6584 7522 8230 11522 15044 16460 18805 23044 26327 28805 30088 32920 37610 40327 46088 52654 57610 75220 80654 105308 115220 131635 150440 161308 184289 201635 210616 230440 263270 322616 368578 403270 526540 737156 806540 921445 1053080 1474312 1613080 1842890 3095303 3685780 6190606 7371560 12381212 15476515 21667121 24762424 30953030 43334242 61906060 86668484 108335605 123812120 151669847 173336968 216671210 303339694 433342420 606679388 758349235 866684840 1213358776 1516698470 3033396940 6066793880