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1429679351607 = 313238319202957
BaseRepresentation
bin10100110011011111100…
…001111010011100110111
312001200020210221001221120
4110303133201322130313
5141410440403222412
63012441410115023
7205201533656643
oct24633741723467
95050223831846
101429679351607
115013617a4451
121b10b887ba73
13a4a837218a0
144d2a8227c23
15272c8a4bb8c
hex14cdf87a737

1429679351607 has 32 divisors (see below), whose sum is σ = 2167937146368. Its totient is φ = 831411182976.

The previous prime is 1429679351587. The next prime is 1429679351651. The reversal of 1429679351607 is 7061539769241.

It is not a de Polignac number, because 1429679351607 - 27 = 1429679351479 is a prime.

It is a super-3 number, since 3×14296793516073 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429679351707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9527028 + ... + 9675929.

It is an arithmetic number, because the mean of its divisors is an integer number (67748035824).

Almost surely, 21429679351607 is an apocalyptic number.

1429679351607 is a deficient number, since it is larger than the sum of its proper divisors (738257794761).

1429679351607 is a wasteful number, since it uses less digits than its factorization.

1429679351607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19203079.

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 1429679351607 in words is "one trillion, four hundred twenty-nine billion, six hundred seventy-nine million, three hundred fifty-one thousand, six hundred seven".

Divisors: 1 3 13 23 39 69 83 249 299 897 1079 1909 3237 5727 24817 74451 19202957 57608871 249638441 441668011 748915323 1325004033 1593845431 4781536293 5741684143 17225052429 20719990603 36658444913 62159971809 109975334739 476559783869 1429679351607