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2325473349120 = 29345611571171
BaseRepresentation
bin100001110101110001000…
…000110100111000000000
322020022110020101002110000
4201311301000310320000
5301100032134132440
64540150244240000
7330003253216365
oct41656100647000
98208406332400
102325473349120
11817256098329
123168383a0000
1313b3a29acb0c
14807a6b9446c
1540756bb0730
hex21d71034e00

2325473349120 has 800 divisors, whose sum is σ = 8526850380576. Its totient is φ = 605557555200.

The previous prime is 2325473349077. The next prime is 2325473349127. The reversal of 2325473349120 is 219433745232.

2325473349120 is a `hidden beast` number, since 2 + 3 + 25 + 473 + 34 + 9 + 120 = 666.

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 (2325473349127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1985886135 + ... + 1985887305.

Almost surely, 22325473349120 is an apocalyptic number.

2325473349120 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 2325473349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263425190288).

2325473349120 is an abundant number, since it is smaller than the sum of its proper divisors (6201377031456).

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

2325473349120 is a wasteful number, since it uses less digits than its factorization.

2325473349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2325473349120 in words is "two trillion, three hundred twenty-five billion, four hundred seventy-three million, three hundred forty-nine thousand, one hundred twenty".