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328666323840 = 2735436759417
BaseRepresentation
bin1001100100001100000…
…10100001101110000000
31011102100022200011100220
410302012002201232000
520341102034330330
6410553123543040
732513441441451
oct4620602415600
91142308604326
10328666323840
11117428631728
125384582aa80
1324cbaac76ca
1411c9c3c1128
158839194710
hex4c860a1b80

328666323840 has 256 divisors, whose sum is σ = 1088005374720. Its totient is φ = 84326989824.

The previous prime is 328666323809. The next prime is 328666323847. The reversal of 328666323840 is 48323666823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328666323847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5501812 + ... + 5561228.

It is an arithmetic number, because the mean of its divisors is an integer number (4250020995).

Almost surely, 2328666323840 is an apocalyptic number.

328666323840 is a gapful number since it is divisible by the number (30) 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 328666323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544002687360).

328666323840 is an abundant number, since it is smaller than the sum of its proper divisors (759339050880).

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

328666323840 is a wasteful number, since it uses less digits than its factorization.

328666323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59549 (or 59537 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 328666323840 in words is "three hundred twenty-eight billion, six hundred sixty-six million, three hundred twenty-three thousand, eight hundred forty".