Search a number
-
+
10712344249 = 172941529973
BaseRepresentation
bin10011111101000000…
…10110011010111001
31000122120011110201201
421332200112122321
5133414330003444
64530550414201
7526314265225
oct117640263271
930576143651
1010712344249
1145a7925872
1220ab661361
13101945c449
147389d1785
1542a6bcdd4
hex27e8166b9

10712344249 has 16 divisors (see below), whose sum is σ = 12019810320. Its totient is φ = 9497098240.

The previous prime is 10712344243. The next prime is 10712344289. The reversal of 10712344249 is 94244321701.

It can be written as a sum of positive squares in 8 ways, for example, as 502656400 + 10209687849 = 22420^2 + 101043^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712344249 - 25 = 10712344217 is a prime.

It is a super-2 number, since 2×107123442492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10712344243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244774 + ... + 285199.

It is an arithmetic number, because the mean of its divisors is an integer number (751238145).

Almost surely, 210712344249 is an apocalyptic number.

It is an amenable number.

10712344249 is a deficient number, since it is larger than the sum of its proper divisors (1307466071).

10712344249 is a wasteful number, since it uses less digits than its factorization.

10712344249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530060.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10712344249 in words is "ten billion, seven hundred twelve million, three hundred forty-four thousand, two hundred forty-nine".

Divisors: 1 17 29 41 493 697 1189 20213 529973 9009541 15369217 21728893 261276689 369391181 630137897 10712344249