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68548170240 = 2933511891013
BaseRepresentation
bin111111110101110010…
…100001001000000000
320112221020110211212000
4333311302201020000
52110341312421430
651253545104000
74644454555554
oct776562411000
9215836424760
1068548170240
1127086722970
1211350788000
13660571c9a4
143463c91864
151bb2e2de60
hexff5ca1200

68548170240 has 640 divisors, whose sum is σ = 268873862400. Its totient is φ = 16414801920.

The previous prime is 68548170239. The next prime is 68548170241. The reversal of 68548170240 is 4207184586.

68548170240 is a `hidden beast` number, since 6 + 85 + 481 + 70 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68548170239) and next prime (68548170241).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (68548170241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67667974 + ... + 67668986.

It is an arithmetic number, because the mean of its divisors is an integer number (420115410).

Almost surely, 268548170240 is an apocalyptic number.

68548170240 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 68548170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134436931200).

68548170240 is an abundant number, since it is smaller than the sum of its proper divisors (200325692160).

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

68548170240 is a wasteful number, since it uses less digits than its factorization.

68548170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 68548170240 in words is "sixty-eight billion, five hundred forty-eight million, one hundred seventy thousand, two hundred forty".