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3483608701640 = 235175122953973
BaseRepresentation
bin110010101100010111010…
…000100101101011001000
3110100000210200100202110012
4302230113100211223020
5424033412311423030
611224203040211052
7506453033252534
oct62542720455310
913300720322405
103483608701640
111123432327101
12483191609a88
131c366cb0ba62
14c087120abc4
156093b33b095
hex32b17425ac8

3483608701640 has 32 divisors (see below), whose sum is σ = 8299185437880. Its totient is φ = 1311476216832.

The previous prime is 3483608701627. The next prime is 3483608701649. The reversal of 3483608701640 is 461078063843.

It can be written as a sum of positive squares in 4 ways, for example, as 3002880025924 + 480728675716 = 1732882^2 + 693346^2 .

It is a super-2 number, since 2×34836087016402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3483608701649) 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 7 ways as a sum of consecutive naturals, for example, 2561476307 + ... + 2561477666.

Almost surely, 23483608701640 is an apocalyptic number.

It is an amenable number.

3483608701640 is an abundant number, since it is smaller than the sum of its proper divisors (4815576736240).

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

3483608701640 is a wasteful number, since it uses less digits than its factorization.

3483608701640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122954001 (or 5122953997 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 3483608701640 in words is "three trillion, four hundred eighty-three billion, six hundred eight million, seven hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5122953973 10245907946 20491815892 25614769865 40983631784 51229539730 87090217541 102459079460 174180435082 204918158920 348360870164 435451087705 696721740328 870902175410 1741804350820 3483608701640