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5785606704384 = 2835139537507
BaseRepresentation
bin101010000110001000100…
…0010000100110100000000
3202111002122212201200200000
41110030101002010310000
51224242410304020014
620145512050400000
71134665504366163
oct124142102046400
922432585650600
105785606704384
111930731177221
12795357b90000
1332c7710c9c70
1416004c2d7ada
15a076c0e3509
hex54311084d00

5785606704384 has 432 divisors, whose sum is σ = 18651894835392. Its totient is φ = 1778081808384.

The previous prime is 5785606704359. The next prime is 5785606704401. The reversal of 5785606704384 is 4834076065875.

5785606704384 is a `hidden beast` number, since 5 + 7 + 8 + 560 + 67 + 0 + 4 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770691159 + ... + 770698665.

Almost surely, 25785606704384 is an apocalyptic number.

5785606704384 is a gapful number since it is divisible by the number (54) 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 5785606704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325947417696).

5785606704384 is an abundant number, since it is smaller than the sum of its proper divisors (12866288131008).

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

5785606704384 is an equidigital number, since it uses as much as digits as its factorization.

5785606704384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 5785606704384 in words is "five trillion, seven hundred eighty-five billion, six hundred six million, seven hundred four thousand, three hundred eighty-four".