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2655278640 = 2432572731031
BaseRepresentation
bin1001111001000100…
…0101011000110000
320212001101010112100
42132101011120300
520414222404030
61115251500400
7122541332100
oct23621053060
96761333470
102655278640
111142921163
126212b7700
13334158bc1
141b2911200
1510819e360
hex9e445630

2655278640 has 360 divisors, whose sum is σ = 10525495968. Its totient is φ = 598026240.

The previous prime is 2655278629. The next prime is 2655278669. The reversal of 2655278640 is 468725562.

2655278640 is a `hidden beast` number, since 2 + 6 + 5 + 527 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2574925 + ... + 2575955.

Almost surely, 22655278640 is an apocalyptic number.

2655278640 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 2655278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262747984).

2655278640 is an abundant number, since it is smaller than the sum of its proper divisors (7870217328).

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

2655278640 is a wasteful number, since it uses less digits than its factorization.

2655278640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2655278640 is about 51529.3958823505. The cubic root of 2655278640 is about 1384.7457278435.

The spelling of 2655278640 in words is "two billion, six hundred fifty-five million, two hundred seventy-eight thousand, six hundred forty".