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13006634342 = 2131913896733
BaseRepresentation
bin11000001110100000…
…10111110101100110
31020120110021111001212
430013100113311212
5203114144244332
65550345151422
7640213365512
oct140720276546
936513244055
1013006634342
1155749a6989
12262ba8b572
1312c3885650
148b55b5142
15511d128b2
hex307417d66

13006634342 has 32 divisors (see below), whose sum is σ = 21178160640. Its totient is φ = 5955396480.

The previous prime is 13006634287. The next prime is 13006634359. The reversal of 13006634342 is 24343660031.

13006634342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13006634299 and 13006634308.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1928408 + ... + 1935140.

It is an arithmetic number, because the mean of its divisors is an integer number (661817520).

Almost surely, 213006634342 is an apocalyptic number.

13006634342 is a deficient number, since it is larger than the sum of its proper divisors (8171526298).

13006634342 is a wasteful number, since it uses less digits than its factorization.

13006634342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 13006634342 in words is "thirteen billion, six million, six hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 13 26 191 382 389 778 2483 4966 5057 6733 10114 13466 74299 87529 148598 175058 965887 1286003 1931774 2572006 2619137 5238274 16718039 33436078 34048781 68097562 500255167 1000510334 6503317171 13006634342