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328655308800 = 21135272133359
BaseRepresentation
bin1001100100001010110…
…00100000100000000000
31011102022112221112120110
410302011120200200000
520341041224340200
6410552051511320
732513246013600
oct4620530404000
91142275845513
10328655308800
11117422398995
1253841bb8540
1324cb873bb30
1411c9ab54c00
15883821ab50
hex4c85620800

328655308800 has 864 divisors, whose sum is σ = 1361500358400. Its totient is φ = 69322014720.

The previous prime is 328655308799. The next prime is 328655308801. The reversal of 328655308800 is 8803556823.

It is an interprime number because it is at equal distance from previous prime (328655308799) and next prime (328655308801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328655308800.

It is not an unprimeable number, because it can be changed into a prime (328655308801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97841521 + ... + 97844879.

It is an arithmetic number, because the mean of its divisors is an integer number (1575810600).

Almost surely, 2328655308800 is an apocalyptic number.

328655308800 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 328655308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680750179200).

328655308800 is an abundant number, since it is smaller than the sum of its proper divisors (1032845049600).

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

328655308800 is a wasteful number, since it uses less digits than its factorization.

328655308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 328655308800 in words is "three hundred twenty-eight billion, six hundred fifty-five million, three hundred eight thousand, eight hundred".