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3660000012 = 2233532692377
BaseRepresentation
bin1101101000100111…
…0010101100001100
3100110001221021011000
43122021302230030
524443430000022
61403102300300
7156461325654
oct33211625414
910401837130
103660000012
111608a7a1a9
12861887690
1346435a0a6
1426a12b364
151664b46ac
hexda272b0c

3660000012 has 96 divisors (see below), whose sum is σ = 9707947200. Its totient is φ = 1192029696.

The previous prime is 3660000011. The next prime is 3660000031. The reversal of 3660000012 is 2100000663.

It is a happy number.

3660000012 is a `hidden beast` number, since 3 + 660 + 0 + 0 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3660000012.

It is not an unprimeable number, because it can be changed into a prime (3660000011) 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, 1538568 + ... + 1540944.

It is an arithmetic number, because the mean of its divisors is an integer number (101124450).

Almost surely, 23660000012 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 3660000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853973600).

3660000012 is an abundant number, since it is smaller than the sum of its proper divisors (6047947188).

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

3660000012 is a wasteful number, since it uses less digits than its factorization.

3660000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3660000012 is about 60497.9339481936. The cubic root of 3660000012 is about 1541.0865458522.

Adding to 3660000012 its reverse (2100000663), we get a palindrome (5760000675).

The spelling of 3660000012 in words is "three billion, six hundred sixty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 269 318 477 538 636 807 954 1076 1431 1614 1908 2377 2421 2862 3228 4754 4842 5724 7131 7263 9508 9684 14257 14262 14526 21393 28514 28524 29052 42771 42786 57028 64179 85542 85572 125981 128313 128358 171084 251962 256626 256716 377943 384939 503924 513252 639413 755886 769878 1133829 1278826 1511772 1539756 1918239 2267658 2557652 3401487 3836478 4535316 5754717 6802974 7672956 11509434 13605948 17264151 23018868 33888889 34528302 67777778 69056604 101666667 135555556 203333334 305000001 406666668 610000002 915000003 1220000004 1830000006 3660000012