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8929900269 = 3319311793137
BaseRepresentation
bin10000101000100001…
…10111011011101101
3212001100011221021000
420110100313123231
5121242023302034
64034034430513
7434201620443
oct102420673355
925040157230
108929900269
113872772274
121892732439
13ac40a8274
14609da8b93
15373e81599
hex2144376ed

8929900269 has 64 divisors (see below), whose sum is σ = 14459904000. Its totient is φ = 5425781760.

The previous prime is 8929900241. The next prime is 8929900277. The reversal of 8929900269 is 9620099298.

8929900269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8929900269 - 27 = 8929900141 is a prime.

It is a super-2 number, since 2×89299002692 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8929900279) 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 63 ways as a sum of consecutive naturals, for example, 2845069 + ... + 2848205.

It is an arithmetic number, because the mean of its divisors is an integer number (225936000).

Almost surely, 28929900269 is an apocalyptic number.

It is an amenable number.

8929900269 is a deficient number, since it is larger than the sum of its proper divisors (5530003731).

8929900269 is a wasteful number, since it uses less digits than its factorization.

8929900269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 8929900269 is about 94498.1495533114. The cubic root of 8929900269 is about 2074.6692476345.

The spelling of 8929900269 in words is "eight billion, nine hundred twenty-nine million, nine hundred thousand, two hundred sixty-nine".

Divisors: 1 3 9 19 27 31 57 93 171 179 279 513 537 589 837 1611 1767 3137 3401 4833 5301 5549 9411 10203 15903 16647 28233 30609 49941 59603 84699 91827 97247 105431 149823 178809 291741 316293 536427 561523 875223 948879 1609281 1684569 1847693 2625669 2846637 5053707 5543079 10668937 15161121 16629237 17407213 32006811 49887711 52221639 96020433 156664917 288061299 330737047 469994751 992211141 2976633423 8929900269