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3018693020 = 2257219223727
BaseRepresentation
bin1011001111101101…
…1001100110011100
321210101012111100012
42303323121212130
522140241134040
61215313022352
7134543316200
oct26373314634
97711174305
103018693020
111309a78822
12702b549b8
1339152aab5
14208cb0b00
1512a037865
hexb3ed999c

3018693020 has 144 divisors (see below), whose sum is σ = 7807887360. Its totient is φ = 974768256.

The previous prime is 3018692981. The next prime is 3018693023. The reversal of 3018693020 is 203968103.

It is a super-2 number, since 2×30186930202 = 18225015097993440800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3018693023) 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 47 ways as a sum of consecutive naturals, for example, 4151897 + ... + 4152623.

It is an arithmetic number, because the mean of its divisors is an integer number (54221440).

Almost surely, 23018693020 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 3018693020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903943680).

3018693020 is an abundant number, since it is smaller than the sum of its proper divisors (4789194340).

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

3018693020 is a wasteful number, since it uses less digits than its factorization.

3018693020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3018693020 is about 54942.6339011882. The cubic root of 3018693020 is about 1445.2389255431.

The spelling of 3018693020 in words is "three billion, eighteen million, six hundred ninety-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 223 245 266 380 446 490 532 665 727 892 931 980 1115 1330 1454 1561 1862 2230 2660 2908 3122 3635 3724 4237 4460 4655 5089 6244 7270 7805 8474 9310 10178 10927 13813 14540 15610 16948 18620 20356 21185 21854 25445 27626 29659 31220 35623 42370 43708 50890 54635 55252 59318 69065 71246 84740 96691 101780 109270 118636 138130 142492 148295 162121 178115 193382 207613 218540 276260 296590 324242 356230 386764 415226 483455 593180 648484 676837 712460 810605 830452 966910 1038065 1134847 1353674 1621210 1933820 2076130 2269694 2707348 3080299 3242420 3384185 4152260 4539388 5674235 6160598 6768370 7943929 11348470 12321196 13536740 15401495 15887858 21562093 22696940 30802990 31775716 39719645 43124186 61605980 79439290 86248372 107810465 150934651 158878580 215620930 301869302 431241860 603738604 754673255 1509346510 3018693020