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66064206420 = 22335122341123
BaseRepresentation
bin111101100001101110…
…111100101001010100
320022112010110102002000
4331201232330221110
52040244414101140
650203253115300
74526063326542
oct754156745124
9208463412060
1066064206420
1126021582103
1210978928b30
1362cac16704
1432aa016d92
151ab9d1ea30
hexf61bbca54

66064206420 has 48 divisors (see below), whose sum is σ = 205533088320. Its totient is φ = 17617121568.

The previous prime is 66064206419. The next prime is 66064206427. The reversal of 66064206420 is 2460246066.

66064206420 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 4 + 2 + 0 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66064206427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61170022 + ... + 61171101.

It is an arithmetic number, because the mean of its divisors is an integer number (4281939340).

Almost surely, 266064206420 is an apocalyptic number.

66064206420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66064206420 is an abundant number, since it is smaller than the sum of its proper divisors (139468881900).

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

66064206420 is a wasteful number, since it uses less digits than its factorization.

66064206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122341141 (or 122341133 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 66064 and 206420, that added together give a square (272484 = 5222).

The spelling of 66064206420 in words is "sixty-six billion, sixty-four million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 122341123 244682246 367023369 489364492 611705615 734046738 1101070107 1223411230 1468093476 1835116845 2202140214 2446822460 3303210321 3670233690 4404280428 5505350535 6606420642 7340467380 11010701070 13212841284 16516051605 22021402140 33032103210 66064206420