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66107305344 = 273533248197
BaseRepresentation
bin111101100100010011…
…010110110110000000
320022122010120001200110
4331210103112312000
52040341432232334
650211432551320
74530125552433
oct754423266600
9208563501613
1066107305344
1126043939a53
121098b252540
136306b26932
1432b1a3581a
151abd9d4ae9
hexf644d6d80

66107305344 has 64 divisors (see below), whose sum is σ = 178910745840. Its totient is φ = 21619992576.

The previous prime is 66107305343. The next prime is 66107305349. The reversal of 66107305344 is 44350370166.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66107305343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603747 + ... + 1644450.

Almost surely, 266107305344 is an apocalyptic number.

66107305344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66107305344 is an abundant number, since it is smaller than the sum of its proper divisors (112803440496).

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

66107305344 is a wasteful number, since it uses less digits than its factorization.

66107305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248267 (or 3248255 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 66107305344 in words is "sixty-six billion, one hundred seven million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 3248197 6496394 9744591 12992788 19489182 25985576 38978364 51971152 77956728 103942304 155913456 172154441 207884608 311826912 344308882 415769216 516463323 623653824 688617764 1032926646 1247307648 1377235528 2065853292 2754471056 4131706584 5508942112 8263413168 11017884224 16526826336 22035768448 33053652672 66107305344