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3425898855600 = 243552133318191
BaseRepresentation
bin110001110110100111011…
…110111111110010110000
3110010111211210002211100000
4301312213132333302300
5422112220101334400
611141500342030000
7502340652540534
oct61664736776260
913114753084300
103425898855600
111100a08655671
12473b66718300
131bb0a398a270
14bbb58981bc4
155e1aebb2600
hex31da77bfcb0

3425898855600 has 720 divisors, whose sum is σ = 13319282622464. Its totient is φ = 840647808000.

The previous prime is 3425898855559. The next prime is 3425898855601. The reversal of 3425898855600 is 65588985243.

3425898855600 is a `hidden beast` number, since 3 + 42 + 589 + 8 + 8 + 5 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3425898855601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418247505 + ... + 418255695.

Almost surely, 23425898855600 is an apocalyptic number.

3425898855600 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 3425898855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659641311232).

3425898855600 is an abundant number, since it is smaller than the sum of its proper divisors (9893383766864).

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

3425898855600 is a wasteful number, since it uses less digits than its factorization.

3425898855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 3425898855600 in words is "three trillion, four hundred twenty-five billion, eight hundred ninety-eight million, eight hundred fifty-five thousand, six hundred".