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13133465037 = 3371123274661
BaseRepresentation
bin11000011101101000…
…01100010111001101
31020220021221011002000
430032310030113031
5203344131340122
610011115422513
7643313416350
oct141664142715
936807834060
1013133465037
11562a553740
122666454a39
131313c316b4
148c838c297
1551d0170ac
hex30ed0c5cd

13133465037 has 64 divisors (see below), whose sum is σ = 25312849920. Its totient is φ = 6525921600.

The previous prime is 13133465021. The next prime is 13133465041. The reversal of 13133465037 is 73056433131.

13133465037 is a `hidden beast` number, since 13 + 133 + 4 + 6 + 503 + 7 = 666.

13133465037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13133465037 - 24 = 13133465021 is a prime.

It is a super-2 number, since 2×131334650372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13133464992 and 13133465010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133465237) 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 63 ways as a sum of consecutive naturals, for example, 89514 + ... + 185147.

It is an arithmetic number, because the mean of its divisors is an integer number (395513280).

Almost surely, 213133465037 is an apocalyptic number.

It is an amenable number.

13133465037 is a deficient number, since it is larger than the sum of its proper divisors (12179384883).

13133465037 is a wasteful number, since it uses less digits than its factorization.

13133465037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274711 (or 274705 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Adding to 13133465037 its reverse (73056433131), we get a palindrome (86189898168).

The spelling of 13133465037 in words is "thirteen billion, one hundred thirty-three million, four hundred sixty-five thousand, thirty-seven".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 99 161 189 207 231 253 297 483 621 693 759 1449 1771 2079 2277 4347 5313 6831 15939 47817 274661 823983 1922627 2471949 3021271 5767881 6317203 7415847 9063813 17303643 18951609 21148897 27191439 44220421 51910929 56854827 63446691 69489233 81574317 132661263 170564481 190340073 208467699 397983789 486424631 571020219 625403097 1193951367 1459273893 1876209291 4377821679 13133465037