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66339456012 = 223231210717921
BaseRepresentation
bin111101110010001000…
…111100010000001100
320100020022101112112100
4331302020330100030
52041330400043022
650250444435100
74535645033514
oct756210742014
9210208345470
1066339456012
1126152991205
1210a34b48a90
136342c59aab
1432d47c6844
151ad40901ac
hexf7223c40c

66339456012 has 108 divisors (see below), whose sum is σ = 174904454088. Its totient is φ = 21198643200.

The previous prime is 66339455993. The next prime is 66339456041. The reversal of 66339456012 is 21065493366.

66339456012 is a `hidden beast` number, since 6 + 6 + 3 + 39 + 4 + 5 + 601 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3692812 + ... + 3710732.

It is an arithmetic number, because the mean of its divisors is an integer number (1619485686).

Almost surely, 266339456012 is an apocalyptic number.

66339456012 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 66339456012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87452227044).

66339456012 is an abundant number, since it is smaller than the sum of its proper divisors (108564998076).

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

66339456012 is a wasteful number, since it uses less digits than its factorization.

66339456012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18100 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66339456012 in words is "sixty-six billion, three hundred thirty-nine million, four hundred fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 186 214 279 321 372 428 558 642 961 963 1116 1284 1922 1926 2883 3317 3844 3852 5766 6634 8649 9951 11532 13268 17298 17921 19902 29853 34596 35842 39804 53763 59706 71684 102827 107526 119412 161289 205654 215052 308481 322578 411308 555551 616962 645156 925443 1111102 1233924 1666653 1850886 1917547 2222204 3333306 3701772 3835094 4999959 5752641 6666612 7670188 9999918 11505282 17222081 17257923 19999836 23010564 34444162 34515846 51666243 59443957 68888324 69031692 103332486 118887914 154998729 178331871 206664972 237775828 309997458 356663742 534995613 619994916 713327484 1069991226 1842762667 2139982452 3685525334 5528288001 7371050668 11056576002 16584864003 22113152004 33169728006 66339456012