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68325716160 = 2634513312211
BaseRepresentation
bin111111101000100001…
…111011000011000000
320112100201220000020000
4333220201323003000
52104412340404120
651215521120000
74636114001442
oct775041730300
9215321800200
1068325716160
1126a820a3919
12112aa189000
13659b603260
143442506492
151b9d63b990
hexfe887b0c0

68325716160 has 840 divisors, whose sum is σ = 271739947248. Its totient is φ = 16198963200.

The previous prime is 68325716143. The next prime is 68325716177. The reversal of 68325716160 is 6161752386.

68325716160 is a `hidden beast` number, since 6 + 8 + 3 + 25 + 7 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68325716143) and next prime (68325716177).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 323818455 + ... + 323818665.

Almost surely, 268325716160 is an apocalyptic number.

68325716160 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 68325716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135869973624).

68325716160 is an abundant number, since it is smaller than the sum of its proper divisors (203414231088).

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

68325716160 is a wasteful number, since it uses less digits than its factorization.

68325716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 68325716160 in words is "sixty-eight billion, three hundred twenty-five million, seven hundred sixteen thousand, one hundred sixty".