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13142606764 = 2272837165449
BaseRepresentation
bin11000011110101110…
…00100001110101100
31020220221010121011111
430033113010032230
5203404001404024
610012043401404
7643454212540
oct141727041654
936827117144
1013142606764
115634727a91
122669523264
131315ab26c1
148c968ba20
1551dc20a94
hex30f5c43ac

13142606764 has 24 divisors (see below), whose sum is σ = 26294637600. Its totient is φ = 5630526336.

The previous prime is 13142606761. The next prime is 13142606777. The reversal of 13142606764 is 46760624131.

13142606764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131426067642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142606761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3289 + ... + 162160.

It is an arithmetic number, because the mean of its divisors is an integer number (1095609900).

Almost surely, 213142606764 is an apocalyptic number.

13142606764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13142606764 is an abundant number, since it is smaller than the sum of its proper divisors (13152030836).

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

13142606764 is a wasteful number, since it uses less digits than its factorization.

13142606764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168297 (or 168295 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 13142606764 in words is "thirteen billion, one hundred forty-two million, six hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 2837 5674 11348 19859 39718 79436 165449 330898 661796 1158143 2316286 4632572 469378813 938757626 1877515252 3285651691 6571303382 13142606764