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3680323130880 = 2932511611012357
BaseRepresentation
bin110101100011100100010…
…110100101011000000000
3111000211120001021011011200
4311203210112211120000
5440244300210142010
611454414521141200
7526615560312204
oct65434426453000
914024501234150
103680323130880
1111998a8509370
124b533092a800
1320908c52b506
14ca1b2bcab04
1565b0110ccc0
hex358e45a5600

3680323130880 has 960 divisors, whose sum is σ = 14278649875776. Its totient is φ = 868515840000.

The previous prime is 3680323130879. The next prime is 3680323130881. The reversal of 3680323130880 is 880313230863.

3680323130880 is a `hidden beast` number, since 36 + 8 + 0 + 3 + 231 + 308 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3680323130879) and next prime (3680323130881).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680323130881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561442662 + ... + 1561445018.

Almost surely, 23680323130880 is an apocalyptic number.

3680323130880 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 3680323130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139324937888).

3680323130880 is an abundant number, since it is smaller than the sum of its proper divisors (10598326744896).

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

3680323130880 is a wasteful number, since it uses less digits than its factorization.

3680323130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3680323130880 in words is "three trillion, six hundred eighty billion, three hundred twenty-three million, one hundred thirty thousand, eight hundred eighty".