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328787685636480 = 2735574310096961
BaseRepresentation
bin100101011000001111101100…
…1001101010111100110000000
31121010010210111010021202100000
41022300133121031113212000
5321043324140010331410
63123134551055200000
7126153061232124630
oct11260373115274600
91533123433252300
10328787685636480
1195842090078954
1230a6130a816000
131115c712c38025
145b295a20086c0
1528027c77d1dc0
hex12b07d9357980

328787685636480 has 1536 divisors, whose sum is σ = 1378449533260800. Its totient is φ = 73320478801920.

The previous prime is 328787685636479. The next prime is 328787685636503. The reversal of 328787685636480 is 84636586787823.

328787685636480 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 8 + 7 + 6 + 8 + 563 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 328787685636480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47232820200 + ... + 47232827160.

It is an arithmetic number, because the mean of its divisors is an integer number (897428081550).

Almost surely, 2328787685636480 is an apocalyptic number.

328787685636480 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 328787685636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689224766630400).

328787685636480 is an abundant number, since it is smaller than the sum of its proper divisors (1049661847624320).

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

328787685636480 is a wasteful number, since it uses less digits than its factorization.

328787685636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 15606743040, while the sum is 81.

The spelling of 328787685636480 in words is "three hundred twenty-eight trillion, seven hundred eighty-seven billion, six hundred eighty-five million, six hundred thirty-six thousand, four hundred eighty".