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68959336320 = 2732573155171
BaseRepresentation
bin100000000111001001…
…0111111011110000000
320120222220011020200100
41000032102333132000
52112212042230240
651402433522400
74660606454520
oct1001622773600
9216886136610
1068959336320
1127277825046
1211446413400
13666c970824
1434a2721680
151bd909ae30
hex100e4bf780

68959336320 has 384 divisors, whose sum is σ = 280926996480. Its totient is φ = 15253401600.

The previous prime is 68959336301. The next prime is 68959336403. The reversal of 68959336320 is 2363395986.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×689593363202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222335 + ... + 1277505.

It is an arithmetic number, because the mean of its divisors is an integer number (731580720).

Almost surely, 268959336320 is an apocalyptic number.

68959336320 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 68959336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140463498240).

68959336320 is an abundant number, since it is smaller than the sum of its proper divisors (211967660160).

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

68959336320 is a wasteful number, since it uses less digits than its factorization.

68959336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55234 (or 55219 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 68959336320 in words is "sixty-eight billion, nine hundred fifty-nine million, three hundred thirty-six thousand, three hundred twenty".