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2046742634209 = 721322313778439
BaseRepresentation
bin11101110010001011010…
…111100001111011100001
321020200000000100200202111
4131302023113201323201
5232013212103243314
64204132141515321
7300605122224400
oct35621327417341
97220000320674
102046742634209
1171a022949799
12290809b72b41
1311b0124cb600
14710c4741637
15383918e1ec4
hex1dc8b5e1ee1

2046742634209 has 72 divisors (see below), whose sum is σ = 2709903703680. Its totient is φ = 1537665921792.

The previous prime is 2046742634191. The next prime is 2046742634219. The reversal of 2046742634209 is 9024362476402.

It is not a de Polignac number, because 2046742634209 - 27 = 2046742634081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2046742634219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26054212 + ... + 26132650.

It is an arithmetic number, because the mean of its divisors is an integer number (37637551440).

Almost surely, 22046742634209 is an apocalyptic number.

It is an amenable number.

2046742634209 is a deficient number, since it is larger than the sum of its proper divisors (663161069471).

2046742634209 is a wasteful number, since it uses less digits than its factorization.

2046742634209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78639 (or 78619 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 2046742634209 in words is "two trillion, forty-six billion, seven hundred forty-two million, six hundred thirty-four thousand, two hundred nine".

Divisors: 1 7 13 23 49 91 137 161 169 299 637 959 1127 1183 1781 2093 3151 3887 6713 8281 12467 14651 22057 23153 27209 40963 78439 87269 154399 162071 190463 286741 532519 549073 1019707 1134497 1804097 2007187 3727633 3843511 7137949 10746143 12628679 13256191 23453261 26093431 49965643 75223001 88400753 92793337 139699859 164172827 247161289 304892393 526561007 649553359 977899013 1149209789 1730129023 1816098167 2134246751 3213096757 6845293091 12110903161 12712687169 14939727257 22491677299 41770257841 88988810183 157441741093 292391804887 2046742634209