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10645440664446 = 2327791069463599
BaseRepresentation
bin1001101011101001010110…
…1101011001001101111110
31101200200202001201020100200
42122322111231121031332
52343403330302230241
634350240430304330
72146051641435510
oct232722555311576
941620661636320
1010645440664446
113434784802355
12123b1a86580a6
135c2b260a5553
1428b35638dbb0
15136da42464b6
hex9ae95b5937e

10645440664446 has 48 divisors (see below), whose sum is σ = 26693811456000. Its totient is φ = 3003053783184.

The previous prime is 10645440664429. The next prime is 10645440664501. The reversal of 10645440664446 is 64446604454601.

10645440664446 is a `hidden beast` number, since 1 + 0 + 64 + 5 + 440 + 66 + 44 + 46 = 666.

It is a super-2 number, since 2×106454406644462 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645440664392 and 10645440664401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534721846 + ... + 534741753.

It is an arithmetic number, because the mean of its divisors is an integer number (556121072000).

Almost surely, 210645440664446 is an apocalyptic number.

10645440664446 is an abundant number, since it is smaller than the sum of its proper divisors (16048370791554).

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

10645440664446 is a wasteful number, since it uses less digits than its factorization.

10645440664446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069463693 (or 1069463690 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 10645440664446 in words is "ten trillion, six hundred forty-five billion, four hundred forty million, six hundred sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 1069463599 2138927198 3208390797 6416781594 7486245193 9625172391 14972490386 19250344782 22458735579 44917471158 67376206737 84487624321 134752413474 168975248642 253462872963 506925745926 591413370247 760388618889 1182826740494 1520777237778 1774240110741 3548480221482 5322720332223 10645440664446