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2656474681 = 723721992
BaseRepresentation
bin1001111001010110…
…1001011000111001
320212010121220012011
42132111221120321
520420024142211
61115333245521
7122554443100
oct23625513071
96763556164
102656474681
111143568823
126217938a1
13334487413
141b2b43037
15108338921
hex9e569639

2656474681 has 27 divisors (see below), whose sum is σ = 3192000399. Its totient is φ = 2204305488.

The previous prime is 2656474669. The next prime is 2656474699. The reversal of 2656474681 is 1864746562.

The square root of 2656474681 is 51541.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2377050025 + 279424656 = 48755^2 + 16716^2 .

It is not a de Polignac number, because 2656474681 - 225 = 2622920249 is a prime.

It is a super-2 number, since 2×26564746812 = 14113715461588103522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2656474651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13349020 + ... + 13349218.

It is an arithmetic number, because the mean of its divisors is an integer number (118222237).

Almost surely, 22656474681 is an apocalyptic number.

2656474681 is the 51541-st square number.

2656474681 is the 25771-st centered octagonal number.

It is an amenable number.

2656474681 is a deficient number, since it is larger than the sum of its proper divisors (535525718).

2656474681 is an frugal number, since it uses more digits than its factorization.

2656474681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The cubic root of 2656474681 is about 1384.9536111177.

Multiplying 2656474681 by its sum of digits (49), we get a square (130167259369 = 3607872).

2656474681 divided by its sum of digits (49) gives a square (54213769 = 73632).

The spelling of 2656474681 in words is "two billion, six hundred fifty-six million, four hundred seventy-four thousand, six hundred eighty-one".

Divisors: 1 7 37 49 199 259 1369 1393 1813 7363 9583 9751 39601 51541 67081 272431 277207 360787 1465237 1907017 1940449 10256659 13349119 54213769 71796613 379496383 2656474681