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68754329280 = 26345713103283
BaseRepresentation
bin100000000001000010…
…0111100111011000000
320120110121101210220000
41000002010330323000
52111302102014110
651330231520000
74652540104410
oct1000204747300
9216417353800
1068754329280
112718203223a
12113a9829000
1366393524a0
1434833d8640
151bc60a31c0
hex100213cec0

68754329280 has 1120 divisors, whose sum is σ = 305007166464. Its totient is φ = 14314807296.

The previous prime is 68754329257. The next prime is 68754329339. The reversal of 68754329280 is 8292345786.

68754329280 is a `hidden beast` number, since 6 + 8 + 7 + 543 + 2 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 242948019 + ... + 242948301.

Almost surely, 268754329280 is an apocalyptic number.

68754329280 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 68754329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152503583232).

68754329280 is an abundant number, since it is smaller than the sum of its proper divisors (236252837184).

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

68754329280 is a wasteful number, since it uses less digits than its factorization.

68754329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 68754329280 in words is "sixty-eight billion, seven hundred fifty-four million, three hundred twenty-nine thousand, two hundred eighty".