Search a number
-
+
10509870223449 = 32157268832
BaseRepresentation
bin1001100011110000010100…
…0101001101000001011001
31101012201210221000021020100
42120330011011031001121
52334143203234122244
634204100121250013
72133212244625422
oct230740505150131
941181727007210
1010509870223449
113392235827483
121218a72333909
135b30cc1258ac
14284975172649
151335bc34bb69
hex98f0514d059

10509870223449 has 27 divisors (see below), whose sum is σ = 15280453349343. Its totient is φ = 6960940779312.

The previous prime is 10509870223439. The next prime is 10509870223483. The reversal of 10509870223449 is 94432207890501.

The square root of 10509870223449 is 3241893.

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

10509870223449 is a `hidden beast` number, since 1 + 0 + 509 + 8 + 70 + 2 + 23 + 4 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3080604177225 + 7429266046224 = 1755165^2 + 2725668^2 .

It is not a de Polignac number, because 10509870223449 - 29 = 10509870222937 is a prime.

It is a super-2 number, since 2×105098702234492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509870223395 and 10509870223404.

It is not an unprimeable number, because it can be changed into a prime (10509870223439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1526928162 + ... + 1526935044.

Almost surely, 210509870223449 is an apocalyptic number.

10509870223449 is the 3241893-rd square number.

10509870223449 is the 1620947-th centered octagonal number.

It is an amenable number.

10509870223449 is a deficient number, since it is larger than the sum of its proper divisors (4770583125894).

10509870223449 is an frugal number, since it uses more digits than its factorization.

10509870223449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10509870223449 in words is "ten trillion, five hundred nine billion, eight hundred seventy million, two hundred twenty-three thousand, four hundred forty-nine".

Divisors: 1 3 9 157 471 1413 6883 20649 24649 61947 73947 221841 1080631 3241893 9725679 47375689 142127067 169659067 426381201 508977201 1526931603 7437983173 22313949519 66941848557 1167763358161 3503290074483 10509870223449