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45223579791361 = 294015099538017
BaseRepresentation
bin10100100100001011011110…
…11010001011000000000001
312221010022222000212100001001
422102011233122023000001
521411420342411310421
6240103231543412001
712345203315503246
oct1222055732130001
9187108860770031
1045223579791361
11134562378a8004
1250a4771454001
131c30746bab55a
14b24b938375cd
15536580a4c691
hex29216f68b001

45223579791361 has 32 divisors (see below), whose sum is σ = 47046997303200. Its totient is φ = 43418657587200.

The previous prime is 45223579791343. The next prime is 45223579791367. The reversal of 45223579791361 is 16319797532254.

It can be written as a sum of positive squares in 16 ways, for example, as 744284072961 + 44479295718400 = 862719^2 + 6669280^2 .

It is a cyclic number.

It is not a de Polignac number, because 45223579791361 - 27 = 45223579791233 is a prime.

It is a super-3 number, since 3×452235797913613 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45223579791293 and 45223579791302.

It is not an unprimeable number, because it can be changed into a prime (45223579791367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5640956425 + ... + 5640964441.

It is an arithmetic number, because the mean of its divisors is an integer number (1470218665725).

Almost surely, 245223579791361 is an apocalyptic number.

It is an amenable number.

45223579791361 is a deficient number, since it is larger than the sum of its proper divisors (1823417511839).

45223579791361 is a wasteful number, since it uses less digits than its factorization.

45223579791361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909.

The product of its digits is 85730400, while the sum is 64.

The spelling of 45223579791361 in words is "forty-five trillion, two hundred twenty-three billion, five hundred seventy-nine million, seven hundred ninety-one thousand, three hundred sixty-one".

Divisors: 1 29 401 509 953 8017 11629 14761 27637 204109 232493 382153 485077 3214817 4080653 5919161 7640201 11082437 14067233 93229693 118338937 194515877 221565829 1636341853 3063720601 3888862309 5640960433 47453913737 88847897429 112777006961 1559433785909 45223579791361