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66697263360 = 28325721361149
BaseRepresentation
bin111110000111011101…
…110111100100000000
320101011020200000221100
4332013131313210000
52043043444411420
650350145454400
74550551245600
oct760735674400
9211136600840
1066697263360
1126316959162
1210b14941400
13639c117810
14332a126c00
151b056bc190
hexf87777900

66697263360 has 1296 divisors, whose sum is σ = 295802161200. Its totient is φ = 13748797440.

The previous prime is 66697263349. The next prime is 66697263371. The reversal of 66697263360 is 6336279666.

It is an interprime number because it is at equal distance from previous prime (66697263349) and next prime (66697263371).

It can be written as a sum of positive squares in 8 ways, for example, as 33409990656 + 33287272704 = 182784^2 + 182448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66697263297 and 66697263306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 447632566 + ... + 447632714.

Almost surely, 266697263360 is an apocalyptic number.

66697263360 is a gapful number since it is divisible by the number (60) 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 66697263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147901080600).

66697263360 is an abundant number, since it is smaller than the sum of its proper divisors (229104897840).

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

66697263360 is a wasteful number, since it uses less digits than its factorization.

66697263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 66697263360 in words is "sixty-six billion, six hundred ninety-seven million, two hundred sixty-three thousand, three hundred sixty".