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2325046933440 = 26325711100910391
BaseRepresentation
bin100001110101010111100…
…110001011011111000000
322020021100111222221002200
4201311113212023133000
5301043144003332230
64540040052513200
7326656554565110
oct41652746133700
98207314887080
102325046933440
1181705741a980
1231673961b800
1313b33554cb4a
14807662b5040
154072e530160
hex21d5798b7c0

2325046933440 has 672 divisors, whose sum is σ = 9981368017920. Its totient is φ = 482601369600.

The previous prime is 2325046933393. The next prime is 2325046933483. The reversal of 2325046933440 is 443396405232.

2325046933440 is a `hidden beast` number, since 2 + 3 + 250 + 4 + 69 + 334 + 4 + 0 = 666.

2325046933440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223750645 + ... + 223761035.

Almost surely, 22325046933440 is an apocalyptic number.

2325046933440 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 2325046933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990684008960).

2325046933440 is an abundant number, since it is smaller than the sum of its proper divisors (7656321084480).

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

2325046933440 is a wasteful number, since it uses less digits than its factorization.

2325046933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 2325046933440 in words is "two trillion, three hundred twenty-five billion, forty-six million, nine hundred thirty-three thousand, four hundred forty".