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3066647472 = 243373132713
BaseRepresentation
bin1011011011001001…
…0101001110110000
321220201102211111000
42312302111032300
522240030204342
61224144522000
7135665034120
oct26662251660
97821384430
103066647472
1113340516a9
12717020300
1339b44b105
142113d4c80
1512e35b44c
hexb6c953b0

3066647472 has 160 divisors (see below), whose sum is σ = 10384732160. Its totient is φ = 847895040.

The previous prime is 3066647471. The next prime is 3066647483. The reversal of 3066647472 is 2747466603.

3066647472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3066647471) 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, 77388 + ... + 110100.

It is an arithmetic number, because the mean of its divisors is an integer number (64904576).

Almost surely, 23066647472 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 3066647472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192366080).

3066647472 is an abundant number, since it is smaller than the sum of its proper divisors (7318084688).

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

3066647472 is a wasteful number, since it uses less digits than its factorization.

3066647472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32768 (or 32756 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3066647472 is about 55377.3191117085. The cubic root of 3066647472 is about 1452.8516962131.

The spelling of 3066647472 in words is "three billion, sixty-six million, six hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 32713 46872 65426 93744 98139 130852 196278 228991 261704 294417 392556 457982 523408 588834 686973 785112 883251 915964 1014103 1177668 1373946 1570224 1766502 1831928 2028206 2060919 2355336 2747892 3042309 3533004 3663856 4056412 4121838 4710672 5495784 6084618 6182757 7066008 7098721 8112824 8243676 9126927 10991568 12169236 12365514 14132016 14197442 16225648 16487352 18253854 21296163 24338472 24731028 27380781 28394884 32974704 36507708 42592326 48676944 49462056 54761562 56789768 63888489 73015416 85184652 98924112 109523124 113579536 127776978 146030832 170369304 191665467 219046248 255553956 340738608 383330934 438092496 511107912 766661868 1022215824 1533323736 3066647472