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2555712000 = 2934531729
BaseRepresentation
bin1001100001010101…
…0001001000000000
320121010000121210000
42120111101020000
520213230241000
61101333440000
7120222123252
oct23025211000
96533017700
102555712000
1110a16a6286
125b3aa0000
1331963772a
141a35d3cd2
15ee583000
hex98551200

2555712000 has 800 divisors, whose sum is σ = 10427479920. Its totient is φ = 619315200.

The previous prime is 2555711959. The next prime is 2555712001. The reversal of 2555712000 is 2175552.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 283855104 + 2271856896 = 16848^2 + 47664^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2555712001) 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, 88127986 + ... + 88128014.

Almost surely, 22555712000 is an apocalyptic number.

2555712000 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 2555712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213739960).

2555712000 is an abundant number, since it is smaller than the sum of its proper divisors (7871767920).

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

2555712000 is an equidigital number, since it uses as much as digits as its factorization.

2555712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 2555712000 is about 50554.0502828408. The cubic root of 2555712000 is about 1367.2165412389.

Adding to 2555712000 its reverse (2175552), we get a palindrome (2557887552).

The spelling of 2555712000 in words is "two billion, five hundred fifty-five million, seven hundred twelve thousand".