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2555649792 = 2834373331
BaseRepresentation
bin1001100001010100…
…0001111100000000
320121002220110110000
42120111001330000
520213221243132
61101332240000
7120221444013
oct23025017400
96532813400
102555649792
1110a1663573
125b3a70000
13319615317
141a35b937a
15ee56e87c
hex98541f00

2555649792 has 180 divisors, whose sum is σ = 7828793896. Its totient is φ = 828610560.

The previous prime is 2555649791. The next prime is 2555649821. The reversal of 2555649792 is 2979465552.

2555649792 is a `hidden beast` number, since 2 + 5 + 5 + 564 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555649791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765567 + ... + 768897.

Almost surely, 22555649792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914396948).

2555649792 is an abundant number, since it is smaller than the sum of its proper divisors (5273144104).

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

2555649792 is an equidigital number, since it uses as much as digits as its factorization.

2555649792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3373 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 2555649792 is about 50553.4350168216. The cubic root of 2555649792 is about 1367.2054481141.

It can be divided in two parts, 255564 and 9792, that added together give a triangular number (265356 = T728).

The spelling of 2555649792 in words is "two billion, five hundred fifty-five million, six hundred forty-nine thousand, seven hundred ninety-two".