Search a number
-
+
13068608488 = 2313292149417
BaseRepresentation
bin11000010101111001…
…10010001111101000
31020201202220002121121
430022330302033220
5203231030432423
610000441345024
7641565224245
oct141274621750
936652802547
1013068608488
1155a6985a91
122648798174
131303674040
148bd9085cc
155174a545d
hex30af323e8

13068608488 has 48 divisors (see below), whose sum is σ = 27330046380. Its totient is φ = 5823638016.

The previous prime is 13068608479. The next prime is 13068608521. The reversal of 13068608488 is 88480686031.

13068608488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6846238564 + 6222369924 = 82742^2 + 78882^2 .

It is a super-2 number, since 2×130686084882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 11 ways as a sum of consecutive naturals, for example, 12756 + ... + 162172.

Almost surely, 213068608488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13068608488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665023190).

13068608488 is an abundant number, since it is smaller than the sum of its proper divisors (14261437892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13068608488 is a wasteful number, since it uses less digits than its factorization.

13068608488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149494 (or 149461 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 13068608488 in words is "thirteen billion, sixty-eight million, six hundred eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 841 1508 1682 3016 3364 6728 10933 21866 43732 87464 149417 298834 597668 1195336 1942421 3884842 4333093 7769684 8666186 15539368 17332372 34664744 56330209 112660418 125659697 225320836 251319394 450641672 502638788 1005277576 1633576061 3267152122 6534304244 13068608488