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629113149 = 3671131091
BaseRepresentation
bin100101011111111…
…000000100111101
31121211210021000000
4211133320010331
52242023110044
6142232024513
721406242060
oct4537700475
91554707000
10629113149
112a3133025
12156832139
13a0450002
145d7a48d7
153a36dd69
hex257f813d

629113149 has 56 divisors (see below), whose sum is σ = 1088523072. Its totient is φ = 355985280.

The previous prime is 629113117. The next prime is 629113171. The reversal of 629113149 is 941311926.

It is a happy number.

629113149 is a `hidden beast` number, since 629 + 1 + 13 + 14 + 9 = 666.

It is not a de Polignac number, because 629113149 - 25 = 629113117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629113249) 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 55 ways as a sum of consecutive naturals, for example, 576094 + ... + 577184.

It is an arithmetic number, because the mean of its divisors is an integer number (19437912).

Almost surely, 2629113149 is an apocalyptic number.

It is an amenable number.

629113149 is a deficient number, since it is larger than the sum of its proper divisors (459409923).

629113149 is a wasteful number, since it uses less digits than its factorization.

629113149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1214 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 629113149 is about 25082.1280795709. The cubic root of 629113149 is about 856.8594434784.

The spelling of 629113149 in words is "six hundred twenty-nine million, one hundred thirteen thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 81 113 189 243 339 567 729 791 1017 1091 1701 2373 3051 3273 5103 7119 7637 9153 9819 21357 22911 27459 29457 64071 68733 82377 88371 123283 192213 206199 265113 369849 576639 618597 795339 862981 1109547 1855791 2588943 3328641 5567373 7766829 9985923 23300487 29957769 69901461 89873307 209704383 629113149