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75204413060 = 22572389197273
BaseRepresentation
bin100011000001010001…
…0000100011010000100
321012010010101000102212
41012002202010122010
52213004312204220
654314243322552
75301430651400
oct1060242043204
9235103330385
1075204413060
1129991a26697
12126a9980458
1371267470ca
1438d5cc8100
151e524940c5
hex1182884684

75204413060 has 72 divisors (see below), whose sum is σ = 184186842840. Its totient is φ = 25717956096.

The previous prime is 75204413041. The next prime is 75204413069. The reversal of 75204413060 is 6031440257.

It can be written as a sum of positive squares in 4 ways, for example, as 17495881984 + 57708531076 = 132272^2 + 240226^2 .

It is not an unprimeable number, because it can be changed into a prime (75204413069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282584 + ... + 479856.

It is an arithmetic number, because the mean of its divisors is an integer number (2558150595).

Almost surely, 275204413060 is an apocalyptic number.

75204413060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75204413060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093421420).

75204413060 is an abundant number, since it is smaller than the sum of its proper divisors (108982429780).

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

75204413060 is a wasteful number, since it uses less digits than its factorization.

75204413060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197685 (or 197676 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 75204413060 in words is "seventy-five billion, two hundred four million, four hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 389 490 778 980 1556 1945 2723 3890 5446 7780 10892 13615 19061 27230 38122 54460 76244 95305 190610 197273 381220 394546 789092 986365 1380911 1972730 2761822 3945460 5523644 6904555 9666377 13809110 19332754 27618220 38665508 48331885 76739197 96663770 153478394 193327540 306956788 383695985 537174379 767391970 1074348758 1534783940 2148697516 2685871895 3760220653 5371743790 7520441306 10743487580 15040882612 18801103265 37602206530 75204413060