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66293956608 = 215311101607
BaseRepresentation
bin111101101111011011…
…011000000000000000
320100010010202221002020
4331233123120000000
52041232223102413
650242141321440
74534553222265
oct755733300000
9210103687066
1066293956608
112612a2348a0
1210a21866280
1363366b9079
1432cc74126c
151ad00a3c23
hexf6f6d8000

66293956608 has 256 divisors, whose sum is σ = 195082490880. Its totient is φ = 19857408000.

The previous prime is 66293956607. The next prime is 66293956639. The reversal of 66293956608 is 80665939266.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66293956607) 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, 109215441 + ... + 109216047.

It is an arithmetic number, because the mean of its divisors is an integer number (762040980).

Almost surely, 266293956608 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 66293956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97541245440).

66293956608 is an abundant number, since it is smaller than the sum of its proper divisors (128788534272).

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

66293956608 is a wasteful number, since it uses less digits than its factorization.

66293956608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 66293956608 in words is "sixty-six billion, two hundred ninety-three million, nine hundred fifty-six thousand, six hundred eight".