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2327285628000 = 25335334336277
BaseRepresentation
bin100001110111011101000…
…010000111110001100000
322020111010112111101201000
4201313131002013301200
5301112240110044000
64541050143512000
7330066210304314
oct41673502076140
98214115441630
102327285628000
11817aa6079273
123170632b8600
1313b6012aba98
14808d9745b44
1540810d42000
hex21ddd087c60

2327285628000 has 384 divisors, whose sum is σ = 8475137274240. Its totient is φ = 620329881600.

The previous prime is 2327285627999. The next prime is 2327285628043. The reversal of 2327285628000 is 8265827232.

It is a happy number.

2327285628000 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 2 + 8 + 562 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 370760862 + ... + 370767138.

It is an arithmetic number, because the mean of its divisors is an integer number (22070669985).

Almost surely, 22327285628000 is an apocalyptic number.

2327285628000 is a gapful number since it is divisible by the number (20) 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 2327285628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237568637120).

2327285628000 is an abundant number, since it is smaller than the sum of its proper divisors (6147851646240).

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

2327285628000 is a wasteful number, since it uses less digits than its factorization.

2327285628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2327285628000 in words is "two trillion, three hundred twenty-seven billion, two hundred eighty-five million, six hundred twenty-eight thousand".