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34050936590 = 25111721071121
BaseRepresentation
bin11111101101100110…
…000000111100001110
310020220001211210200122
4133231212000330032
51024214014432330
623350501424542
72313546120416
oct375546007416
9106801753618
1034050936590
1113493958710
12672370b152
13329870c2b8
14191045b646
15d445b15e5
hex7ed980f0e

34050936590 has 48 divisors (see below), whose sum is σ = 71028242064. Its totient is φ = 11653785600.

The previous prime is 34050936529. The next prime is 34050936599. The reversal of 34050936590 is 9563905043.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050936599) 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 23 ways as a sum of consecutive naturals, for example, 503771 + ... + 567350.

It is an arithmetic number, because the mean of its divisors is an integer number (1479755043).

Almost surely, 234050936590 is an apocalyptic number.

34050936590 is an abundant number, since it is smaller than the sum of its proper divisors (36977305474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34050936590 is a wasteful number, since it uses less digits than its factorization.

34050936590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071173 (or 1071156 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 44.

The spelling of 34050936590 in words is "thirty-four billion, fifty million, nine hundred thirty-six thousand, five hundred ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 289 374 578 935 1445 1870 2890 3179 6358 15895 31790 1071121 2142242 5355605 10711210 11782331 18209057 23564662 36418114 58911655 91045285 117823310 182090570 200299627 309553969 400599254 619107938 1001498135 1547769845 2002996270 3095539690 3405093659 6810187318 17025468295 34050936590