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3280680670176 = 253471397223643
BaseRepresentation
bin101111101111010111110…
…011100101001111100000
3102121122000021110122220000
4233233113303211033200
5412222313222421201
610551042432220000
7456010216405620
oct57572763451740
912548007418800
103280680670176
111055368790598
1244b99939a600
131aa49ccb5bb0
14b4b002d8880
155a510cdbd86
hex2fbd7ce53e0

3280680670176 has 960 divisors, whose sum is σ = 12069906444288. Its totient is φ = 851148767232.

The previous prime is 3280680670123. The next prime is 3280680670349. The reversal of 3280680670176 is 6710760860823.

3280680670176 is a `hidden beast` number, since 328 + 0 + 6 + 80 + 6 + 70 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5102146911 + ... + 5102147553.

Almost surely, 23280680670176 is an apocalyptic number.

3280680670176 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 3280680670176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034953222144).

3280680670176 is an abundant number, since it is smaller than the sum of its proper divisors (8789225774112).

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

3280680670176 is a wasteful number, since it uses less digits than its factorization.

3280680670176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3280680670176 in words is "three trillion, two hundred eighty billion, six hundred eighty million, six hundred seventy thousand, one hundred seventy-six".