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1648968090 = 2357211101977
BaseRepresentation
bin110001001001001…
…0100000110011010
311020220211020222020
41202102110012122
511334113434330
6431343035310
755601666100
oct14222240632
94226736866
101648968090
11776888150
123a029bb36
1320381c583
14118dddc70
1599b73210
hex6249419a

1648968090 has 96 divisors (see below), whose sum is σ = 5022212544. Its totient is φ = 342639360.

The previous prime is 1648968073. The next prime is 1648968109. The reversal of 1648968090 is 908698461.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34819 + ... + 67158.

It is an arithmetic number, because the mean of its divisors is an integer number (52314714).

Almost surely, 21648968090 is an apocalyptic number.

1648968090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1648968090 is an abundant number, since it is smaller than the sum of its proper divisors (3373244454).

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

1648968090 is a wasteful number, since it uses less digits than its factorization.

1648968090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102012 (or 102005 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1648968090 is about 40607.4881025655. The cubic root of 1648968090 is about 1181.4193611763.

The spelling of 1648968090 in words is "one billion, six hundred forty-eight million, nine hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 101977 203954 305931 509885 611862 713839 1019770 1121747 1427678 1529655 2141517 2243494 3059310 3365241 3569195 4283034 4996873 5608735 6730482 7138390 7852229 9993746 10707585 11217470 14990619 15704458 16826205 21415170 23556687 24984365 29981238 33652410 39261145 47113374 49968730 54965603 74953095 78522290 109931206 117783435 149906190 164896809 235566870 274828015 329793618 549656030 824484045 1648968090