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4130217090 = 2325137334973
BaseRepresentation
bin1111011000101110…
…0001110010000010
3101122211201202201100
43312023201302002
531424313421330
61521500515230
7204231160146
oct36613416202
911584652640
104130217090
11182a44425a
1297324bb16
1350a8b4c4c
142b276d226
151928e8060
hexf62e1c82

4130217090 has 48 divisors (see below), whose sum is σ = 10816980408. Its totient is φ = 1093348608.

The previous prime is 4130217089. The next prime is 4130217107. The reversal of 4130217090 is 907120314.

It can be written as a sum of positive squares in 4 ways, for example, as 3546559809 + 583657281 = 59553^2 + 24159^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155157 + ... + 179816.

Almost surely, 24130217090 is an apocalyptic number.

4130217090 is an abundant number, since it is smaller than the sum of its proper divisors (6686763318).

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

4130217090 is a wasteful number, since it uses less digits than its factorization.

4130217090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335123 (or 335120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4130217090 is about 64266.7650500630. The cubic root of 4130217090 is about 1604.4430011782.

The spelling of 4130217090 in words is "four billion, one hundred thirty million, two hundred seventeen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 334973 669946 1004919 1674865 2009838 3014757 3349730 5024595 6029514 10049190 15073785 30147570 45891301 91782602 137673903 229456505 275347806 413021709 458913010 688369515 826043418 1376739030 2065108545 4130217090