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68564488608 = 2534711834139
BaseRepresentation
bin111111110110110000…
…110001000110100000
320112222101011220110000
4333312300301012200
52110410002113413
651255330540000
74645043352150
oct776660610640
9215871156400
1068564488608
1127094959120
1211356137600
136608c14425
1434660dc760
151bb45a4073
hexff6c311a0

68564488608 has 480 divisors, whose sum is σ = 254493550080. Its totient is φ = 17590141440.

The previous prime is 68564488579. The next prime is 68564488609. The reversal of 68564488608 is 80688446586.

68564488608 is a `hidden beast` number, since 6 + 8 + 564 + 4 + 8 + 8 + 60 + 8 = 666.

68564488608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68564488609) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16563403 + ... + 16567541.

It is an arithmetic number, because the mean of its divisors is an integer number (530194896).

Almost surely, 268564488608 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 68564488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127246775040).

68564488608 is an abundant number, since it is smaller than the sum of its proper divisors (185929061472).

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

68564488608 is a wasteful number, since it uses less digits than its factorization.

68564488608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 68564488608 in words is "sixty-eight billion, five hundred sixty-four million, four hundred eighty-eight thousand, six hundred eight".