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2138355783 = 32237595087
BaseRepresentation
bin111111101110100…
…1011100001000111
312112000200201200100
41333131023201013
513334404341113
6552104215143
7103663503264
oct17735134107
95460621610
102138355783
119a8056393
124b816a4b3
1328102a1a5
14163dd226b
15c7ae1d73
hex7f74b847

2138355783 has 6 divisors (see below), whose sum is σ = 3088736144. Its totient is φ = 1425570516.

The previous prime is 2138355733. The next prime is 2138355811. The reversal of 2138355783 is 3875538312.

2138355783 is a `hidden beast` number, since 2 + 13 + 8 + 3 + 557 + 83 = 666.

It is not a de Polignac number, because 2138355783 - 213 = 2138347591 is a prime.

It is a super-3 number, since 3×21383557833 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138355733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118797535 + ... + 118797552.

Almost surely, 22138355783 is an apocalyptic number.

2138355783 is a deficient number, since it is larger than the sum of its proper divisors (950380361).

2138355783 is a wasteful number, since it uses less digits than its factorization.

2138355783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237595093 (or 237595090 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2138355783 is about 46242.3591850589. The cubic root of 2138355783 is about 1288.3286214369.

The spelling of 2138355783 in words is "two billion, one hundred thirty-eight million, three hundred fifty-five thousand, seven hundred eighty-three".

Divisors: 1 3 9 237595087 712785261 2138355783