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330032130330096 = 24344334391339673
BaseRepresentation
bin100101100001010011001011…
…1111001001000110111110000
31121021112202121121112020020000
41023002212113321020313300
5321224221300331030341
63125530400111550000
7126342014565364125
oct11302462771106760
91537482547466200
10330032130330096
1196181927719097
123102253082b300
131121cb863862bc
145b6d8d713074c
152824d5e2ba8b6
hex12c2997e48df0

330032130330096 has 200 divisors, whose sum is σ = 959596375547040. Its totient is φ = 109506546929664.

The previous prime is 330032130330041. The next prime is 330032130330107. The reversal of 330032130330096 is 690033031230033.

It is a happy number.

330032130330096 is a `hidden beast` number, since 3 + 300 + 3 + 2 + 13 + 0 + 330 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 330032130330096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245682916 + ... + 247022588.

Almost surely, 2330032130330096 is an apocalyptic number.

330032130330096 is a gapful number since it is divisible by the number (36) 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 330032130330096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479798187773520).

330032130330096 is an abundant number, since it is smaller than the sum of its proper divisors (629564245216944).

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

330032130330096 is a wasteful number, since it uses less digits than its factorization.

330032130330096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340565 (or 1340550 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 36.

The spelling of 330032130330096 in words is "three hundred thirty trillion, thirty-two billion, one hundred thirty million, three hundred thirty thousand, ninety-six".