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68546318256 = 243313175571289
BaseRepresentation
bin111111110101101011…
…011100111110110000
320112221002222202102000
4333311223130332300
52110340324141011
651253441254000
74644433043313
oct776553347660
9215832882360
1068546318256
11270856784a9
1211350034300
136605221a40
14346392c97a
151bb2bb5356
hexff5adcfb0

68546318256 has 320 divisors, whose sum is σ = 224929353600. Its totient is φ = 19799506944.

The previous prime is 68546318249. The next prime is 68546318293. The reversal of 68546318256 is 65281364586.

68546318256 is a `hidden beast` number, since 68 + 546 + 3 + 18 + 25 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 53177260 + ... + 53178548.

It is an arithmetic number, because the mean of its divisors is an integer number (702904230).

Almost surely, 268546318256 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 68546318256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112464676800).

68546318256 is an abundant number, since it is smaller than the sum of its proper divisors (156383035344).

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

68546318256 is a wasteful number, since it uses less digits than its factorization.

68546318256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1881 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 68546318256 in words is "sixty-eight billion, five hundred forty-six million, three hundred eighteen thousand, two hundred fifty-six".