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42128890205 = 573857134681
BaseRepresentation
bin100111001111000100…
…111101100101011101
311000202000221100211212
4213033010331211131
51142234443441310
631204224154205
73020664441533
oct471704754535
9130660840755
1042128890205
1116959729836
1281b8a68965
133c851471cc
142079218153
151168859205
hex9cf13d95d

42128890205 has 16 divisors (see below), whose sum is σ = 51307377264. Its totient is φ = 33202391040.

The previous prime is 42128890201. The next prime is 42128890259. The reversal of 42128890205 is 50209882124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1236366244 + 40892523961 = 35162^2 + 202219^2 .

It is not a de Polignac number, because 42128890205 - 22 = 42128890201 is a prime.

It is a super-4 number, since 4×421288902054 (a number of 44 digits) contains 4444 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 (42128890201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245465 + ... + 380145.

It is an arithmetic number, because the mean of its divisors is an integer number (3206711079).

Almost surely, 242128890205 is an apocalyptic number.

It is an amenable number.

42128890205 is a deficient number, since it is larger than the sum of its proper divisors (9178487059).

42128890205 is a wasteful number, since it uses less digits than its factorization.

42128890205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135616.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 42128890205 in words is "forty-two billion, one hundred twenty-eight million, eight hundred ninety thousand, two hundred five".

Divisors: 1 5 73 365 857 4285 62561 134681 312805 673405 9831713 49158565 115421617 577108085 8425778041 42128890205