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2625793056 = 25329117337
BaseRepresentation
bin1001110010000010…
…0110110000100000
320202222220002220200
42130200212300200
520334200334211
61112315505200
7122032605225
oct23440466040
96688802820
102625793056
111128212207
12613458200
1332b004103
141aca3794c
151057c7b56
hex9c826c20

2625793056 has 36 divisors (see below), whose sum is σ = 7467099822. Its totient is φ = 875264256.

The previous prime is 2625793019. The next prime is 2625793057. The reversal of 2625793056 is 6503975262.

2625793056 is a `hidden beast` number, since 26 + 2 + 579 + 3 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1892250000 + 733543056 = 43500^2 + 27084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2625793057) 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 5 ways as a sum of consecutive naturals, for example, 4558381 + ... + 4558956.

Almost surely, 22625793056 is an apocalyptic number.

It is an amenable number.

2625793056 is an abundant number, since it is smaller than the sum of its proper divisors (4841306766).

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

2625793056 is a wasteful number, since it uses less digits than its factorization.

2625793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117353 (or 9117342 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2625793056 is about 51242.4926794160. The cubic root of 2625793056 is about 1379.6009936551.

The spelling of 2625793056 in words is "two billion, six hundred twenty-five million, seven hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9117337 18234674 27352011 36469348 54704022 72938696 82056033 109408044 145877392 164112066 218816088 291754784 328224132 437632176 656448264 875264352 1312896528 2625793056