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42728433111 = 3272137453067
BaseRepresentation
bin100111110010110100…
…000010010111010111
311002021211002022002200
4213302310002113113
51200001434324421
631343522335543
73041564455200
oct476264022727
9132254068080
1042728433111
11171370a5241
1283457ba5b3
13404c412a20
1420d4ac25a7
1511a12d6726
hex9f2d025d7

42728433111 has 36 divisors (see below), whose sum is σ = 77318127432. Its totient is φ = 22538071584.

The previous prime is 42728433001. The next prime is 42728433173. The reversal of 42728433111 is 11133482724.

42728433111 is a `hidden beast` number, since 42 + 7 + 284 + 331 + 1 + 1 = 666.

It is not a de Polignac number, because 42728433111 - 27 = 42728432983 is a prime.

It is a super-2 number, since 2×427284331112 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42728433191) 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 35 ways as a sum of consecutive naturals, for example, 3720801 + ... + 3732266.

It is an arithmetic number, because the mean of its divisors is an integer number (2147725762).

Almost surely, 242728433111 is an apocalyptic number.

42728433111 is a deficient number, since it is larger than the sum of its proper divisors (34589694321).

42728433111 is a wasteful number, since it uses less digits than its factorization.

42728433111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453100 (or 7453090 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 42728433111 in words is "forty-two billion, seven hundred twenty-eight million, four hundred thirty-three thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 7453067 22359201 52171469 67077603 96889871 156514407 290669613 365200283 469543221 678229097 872008839 1095600849 2034687291 3286802547 4747603679 6104061873 14242811037 42728433111