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2260566661456 = 24829170428729
BaseRepresentation
bin100000111001010100010…
…001011101100101010000
322000002220202222201121001
4200321110101131211100
5244014120031131311
64450253500511344
7322214643404005
oct40712421354520
98002822881531
102260566661456
117a1778a471a4
1230614324b554
1313522a83585c
147b5aa7ad8ac
153dc087d94c1
hex20e5445d950

2260566661456 has 20 divisors (see below), whose sum is σ = 4385131222900. Its totient is φ = 1128919894272.

The previous prime is 2260566661421. The next prime is 2260566661469. The reversal of 2260566661456 is 6541666650622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1085380577856 + 1175186083600 = 1041816^2 + 1084060^2 .

It is a super-2 number, since 2×22605666614562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260566661397 and 2260566661406.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 85201101 + ... + 85227628.

It is an arithmetic number, because the mean of its divisors is an integer number (219256561145).

Almost surely, 22260566661456 is an apocalyptic number.

It is an amenable number.

2260566661456 is a deficient number, since it is larger than the sum of its proper divisors (2124564561444).

2260566661456 is a wasteful number, since it uses less digits than its factorization.

2260566661456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170429566 (or 170429560 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 2260566661456 in words is "two trillion, two hundred sixty billion, five hundred sixty-six million, six hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 829 1658 3316 6632 13264 170428729 340857458 681714916 1363429832 2726859664 141285416341 282570832682 565141665364 1130283330728 2260566661456