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2532055680 = 273357112173
BaseRepresentation
bin1001011011101100…
…0001101010000000
320112110111202102000
42112323001222000
520141201240210
61055130424000
7116514055350
oct22673015200
96473452360
102532055680
11108a308a00
125a7b92000
13314773ccb
141a03d6b60
15ec45dac0
hex96ec1a80

2532055680 has 768 divisors, whose sum is σ = 11330323200. Its totient is φ = 523100160.

The previous prime is 2532055657. The next prime is 2532055681. The reversal of 2532055680 is 865502352.

It is a happy number.

2532055680 is a `hidden beast` number, since 2 + 5 + 3 + 20 + 556 + 80 = 666.

It is a super-2 number, since 2×25320556802 = 12822611933240524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2532055681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14636074 + ... + 14636246.

It is an arithmetic number, because the mean of its divisors is an integer number (14753025).

Almost surely, 22532055680 is an apocalyptic number.

2532055680 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 2532055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665161600).

2532055680 is an abundant number, since it is smaller than the sum of its proper divisors (8798267520).

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

2532055680 is a wasteful number, since it uses less digits than its factorization.

2532055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2532055680 is about 50319.5357689238. The cubic root of 2532055680 is about 1362.9850236283.

The spelling of 2532055680 in words is "two billion, five hundred thirty-two million, fifty-five thousand, six hundred eighty".