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12290946745 = 5711157203341
BaseRepresentation
bin10110111001001100…
…01111011010111001
31011201120120210020211
423130212033122321
5200132440243440
65351341351121
7613403215660
oct133446173271
934646523224
1012290946745
115237a12230
1224702684a1
13120b51296c
14848515dd7
154be091eea
hex2dc98f6b9

12290946745 has 32 divisors (see below), whose sum is σ = 18505748736. Its totient is φ = 7613049600.

The previous prime is 12290946697. The next prime is 12290946761. The reversal of 12290946745 is 54764909221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12290946745 is a prime.

It is a super-3 number, since 3×122909467453 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41226 + ... + 162115.

It is an arithmetic number, because the mean of its divisors is an integer number (578304648).

Almost surely, 212290946745 is an apocalyptic number.

It is an amenable number.

12290946745 is a deficient number, since it is larger than the sum of its proper divisors (6214801991).

12290946745 is a wasteful number, since it uses less digits than its factorization.

12290946745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203521.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 12290946745 in words is "twelve billion, two hundred ninety million, nine hundred forty-six thousand, seven hundred forty-five".

Divisors: 1 5 7 11 35 55 77 157 385 785 1099 1727 5495 8635 12089 60445 203341 1016705 1423387 2236751 7116935 11183755 15657257 31924537 78286285 159622685 223471759 351169907 1117358795 1755849535 2458189349 12290946745