Search a number
-
+
13422428617 = 1337277100741
BaseRepresentation
bin11001000000000101…
…00000000111001001
31021122102200000120211
430200002200013021
5204442120203432
610055521121121
7653422521643
oct144002400711
937572600524
1013422428617
11576867a314
1227271891a1
13135ba66c70
149148cb893
15538595d47
hex3200a01c9

13422428617 has 16 divisors (see below), whose sum is σ = 14899338832. Its totient is φ = 12011431680.

The previous prime is 13422428599. The next prime is 13422428627. The reversal of 13422428617 is 71682422431.

It can be written as a sum of positive squares in 8 ways, for example, as 394260736 + 13028167881 = 19856^2 + 114141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13422428617 is a prime.

It is a super-3 number, since 3×134224286173 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13422428617.

It is not an unprimeable number, because it can be changed into a prime (13422428627) 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, 82867 + ... + 183607.

It is an arithmetic number, because the mean of its divisors is an integer number (931208677).

Almost surely, 213422428617 is an apocalyptic number.

It is an amenable number.

13422428617 is a deficient number, since it is larger than the sum of its proper divisors (1476910215).

13422428617 is a wasteful number, since it uses less digits than its factorization.

13422428617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101068.

The product of its digits is 129024, while the sum is 40.

The spelling of 13422428617 in words is "thirteen billion, four hundred twenty-two million, four hundred twenty-eight thousand, six hundred seventeen".

Divisors: 1 13 37 277 481 3601 10249 100741 133237 1309633 3727417 27905257 48456421 362768341 1032494509 13422428617