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6066637780 = 22572311316673
BaseRepresentation
bin1011010011001100…
…11000101111010100
3120122210110010112011
411221212120233110
544411024402110
62441553034004
7303223366420
oct55146305724
916583403464
106066637780
112633505835
121213855904
13758b2b0c8
144179d7b80
152578ec48a
hex169998bd4

6066637780 has 96 divisors (see below), whose sum is σ = 15328341504. Its totient is φ = 1971830784.

The previous prime is 6066637777. The next prime is 6066637781. The reversal of 6066637780 is 877366606.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066637781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355524 + ... + 372196.

It is an arithmetic number, because the mean of its divisors is an integer number (159670224).

Almost surely, 26066637780 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 6066637780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664170752).

6066637780 is an abundant number, since it is smaller than the sum of its proper divisors (9261703724).

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

6066637780 is a wasteful number, since it uses less digits than its factorization.

6066637780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16823 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The square root of 6066637780 is about 77888.6242014840. The cubic root of 6066637780 is about 1823.8230008848.

The spelling of 6066637780 in words is "six billion, sixty-six million, six hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 113 115 140 161 226 230 322 452 460 565 644 791 805 1130 1582 1610 2260 2599 3164 3220 3955 5198 7910 10396 12995 15820 16673 18193 25990 33346 36386 51980 66692 72772 83365 90965 116711 166730 181930 233422 333460 363860 383479 466844 583555 766958 1167110 1533916 1884049 1917395 2334220 2684353 3768098 3834790 5368706 7536196 7669580 9420245 10737412 13188343 13421765 18840490 26376686 26843530 37680980 43333127 52753372 53687060 65941715 86666254 131883430 173332508 216665635 263766860 303331889 433331270 606663778 866662540 1213327556 1516659445 3033318890 6066637780