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68255317440 = 263554179271
BaseRepresentation
bin111111100100010101…
…010111110111000000
320112011211102101100000
4333210111113313000
52104241330124230
651204524200000
74634300424402
oct774425276700
9215154371300
1068255317440
1126a46390262
121128a699000
136589b550cb
14343701cb72
151b97382b60
hexfe4557dc0

68255317440 has 672 divisors, whose sum is σ = 253492162560. Its totient is φ = 17468006400.

The previous prime is 68255317421. The next prime is 68255317463. The reversal of 68255317440 is 4471355286.

68255317440 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 531 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251864505 + ... + 251864775.

It is an arithmetic number, because the mean of its divisors is an integer number (377220480).

Almost surely, 268255317440 is an apocalyptic number.

68255317440 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 68255317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126746081280).

68255317440 is an abundant number, since it is smaller than the sum of its proper divisors (185236845120).

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

68255317440 is a wasteful number, since it uses less digits than its factorization.

68255317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 68255317440 in words is "sixty-eight billion, two hundred fifty-five million, three hundred seventeen thousand, four hundred forty".