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3012152064 = 28343197463
BaseRepresentation
bin1011001110001001…
…1100101100000000
321202220220011211120
42303202130230000
522132102331224
61214520512240
7134433604305
oct26342345400
97686804746
103012152064
111306310479
1270091b680
1339007a7cc
1420808b0ac
15129694779
hexb389cb00

3012152064 has 144 divisors (see below), whose sum is σ = 8262600192. Its totient is φ = 973615104.

The previous prime is 3012152063. The next prime is 3012152081. The reversal of 3012152064 is 4602512103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3012152063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6505497 + ... + 6505959.

It is an arithmetic number, because the mean of its divisors is an integer number (57379168).

Almost surely, 23012152064 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 3012152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131300096).

3012152064 is an abundant number, since it is smaller than the sum of its proper divisors (5250448128).

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

3012152064 is a wasteful number, since it uses less digits than its factorization.

3012152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3012152064 is about 54883.0762986187. The cubic root of 3012152064 is about 1444.1943144915.

Adding to 3012152064 its reverse (4602512103), we get a palindrome (7614664167).

The spelling of 3012152064 in words is "three billion, twelve million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 197 256 258 344 384 394 463 516 591 688 768 788 926 1032 1182 1376 1389 1576 1852 2064 2364 2752 2778 3152 3704 4128 4728 5504 5556 6304 7408 8256 8471 9456 11008 11112 12608 14816 16512 16942 18912 19909 22224 25216 25413 29632 33024 33884 37824 39818 44448 50432 50826 59264 59727 67768 75648 79636 88896 91211 101652 118528 119454 135536 151296 159272 177792 182422 203304 238908 271072 273633 318544 355584 364844 406608 477816 542144 547266 637088 729688 813216 955632 1084288 1094532 1274176 1459376 1626432 1911264 2168576 2189064 2548352 2918752 3252864 3822528 3922073 4378128 5096704 5837504 6505728 7645056 7844146 8756256 11675008 11766219 15290112 15688292 17512512 23350016 23532438 31376584 35025024 47064876 62753168 70050048 94129752 125506336 188259504 251012672 376519008 502025344 753038016 1004050688 1506076032 3012152064