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2138649471 = 32733946817
BaseRepresentation
bin111111101111001…
…0011001101111111
312112001020122112200
41333132103031333
513334443240341
6552114402543
7103666135440
oct17736231577
95461218480
102138649471
119a8237002
124b8290453
13281100a7a
1416406b2c7
15c7b4ddb6
hex7f79337f

2138649471 has 12 divisors (see below), whose sum is σ = 3530469072. Its totient is φ = 1222085376.

The previous prime is 2138649467. The next prime is 2138649479. The reversal of 2138649471 is 1749468312.

2138649471 is a `hidden beast` number, since 2 + 13 + 86 + 494 + 71 = 666.

It is not a de Polignac number, because 2138649471 - 22 = 2138649467 is a prime.

It is a super-3 number, since 3×21386494713 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138649479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16973346 + ... + 16973471.

It is an arithmetic number, because the mean of its divisors is an integer number (294205756).

Almost surely, 22138649471 is an apocalyptic number.

2138649471 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2138649471 is a deficient number, since it is larger than the sum of its proper divisors (1391819601).

2138649471 is a wasteful number, since it uses less digits than its factorization.

2138649471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33946830 (or 33946827 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2138649471 is about 46245.5346060568. The cubic root of 2138649471 is about 1288.3875996697.

The spelling of 2138649471 in words is "two billion, one hundred thirty-eight million, six hundred forty-nine thousand, four hundred seventy-one".

Divisors: 1 3 7 9 21 63 33946817 101840451 237627719 305521353 712883157 2138649471