Search a number
-
+
6000181812 = 2233313748437
BaseRepresentation
bin1011001011010001…
…11000001000110100
3120111011101211002000
411211220320020310
544242021304222
62431220415300
7301455463302
oct54550701064
916434354060
106000181812
1125a9a45449
1211b5547530
13748130751
1440cc59272
15251b719ac
hex165a38234

6000181812 has 96 divisors (see below), whose sum is σ = 16492170240. Its totient is φ = 1883191680.

The previous prime is 6000181771. The next prime is 6000181819. The reversal of 6000181812 is 2181810006.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000181819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99658 + ... + 148094.

It is an arithmetic number, because the mean of its divisors is an integer number (171793440).

Almost surely, 26000181812 is an apocalyptic number.

6000181812 is a gapful number since it is divisible by the number (62) 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 6000181812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246085120).

6000181812 is an abundant number, since it is smaller than the sum of its proper divisors (10491988428).

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

6000181812 is a wasteful number, since it uses less digits than its factorization.

6000181812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48518 (or 48510 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 6000181812 is about 77460.8405066715. The cubic root of 6000181812 is about 1817.1389467762.

Adding to 6000181812 its reverse (2181810006), we get a palindrome (8181991818).

The spelling of 6000181812 in words is "six billion, one hundred eighty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 333 372 444 558 666 837 999 1116 1147 1332 1674 1998 2294 3348 3441 3996 4588 6882 10323 13764 20646 30969 41292 48437 61938 96874 123876 145311 193748 290622 435933 581244 871866 1307799 1501547 1743732 1792169 2615598 3003094 3584338 4504641 5231196 5376507 6006188 7168676 9009282 10753014 13513923 16129521 18018564 21506028 27027846 32259042 40541769 48388563 54055692 55557239 64518084 81083538 96777126 111114478 162167076 166671717 193554252 222228956 333343434 500015151 666686868 1000030302 1500045453 2000060604 3000090906 6000181812