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328075148000 = 2553676131997
BaseRepresentation
bin1001100011000101100…
…11010111101011100000
31011100211010021022120102
410301202303113223200
520333344214214000
6410414325001532
732463002513645
oct4614263275340
91140733238512
10328075148000
11117154960556
12536bb8532a8
1324c2549b412
1411c43a93dcc
15880231b3d5
hex4c62cd7ae0

328075148000 has 192 divisors, whose sum is σ = 819856634688. Its totient is φ = 128995891200.

The previous prime is 328075147997. The next prime is 328075148003. The reversal of 328075148000 is 841570823.

It is an interprime number because it is at equal distance from previous prime (328075147997) and next prime (328075148003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328075148003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164283002 + ... + 164284998.

It is an arithmetic number, because the mean of its divisors is an integer number (4270086639).

Almost surely, 2328075148000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328075148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409928317344).

328075148000 is an abundant number, since it is smaller than the sum of its proper divisors (491781486688).

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

328075148000 is a wasteful number, since it uses less digits than its factorization.

328075148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 328075148000 in words is "three hundred twenty-eight billion, seventy-five million, one hundred forty-eight thousand".