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47145939860 = 22517261133717
BaseRepresentation
bin101011111010000111…
…011111001110010100
311111200200101220010202
4223322013133032110
51233023330033420
633354125040032
73256214606465
oct537207371624
9144620356122
1047145939860
1118aa3721468
1291790b6018
1345a4695346
1423d3676d6c
15135e02c575
hexafa1df394

47145939860 has 72 divisors (see below), whose sum is σ = 106897913304. Its totient is φ = 17457960960.

The previous prime is 47145939859. The next prime is 47145939913. The reversal of 47145939860 is 6893954174.

It can be written as a sum of positive squares in 12 ways, for example, as 22938314116 + 24207625744 = 151454^2 + 155588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47145939796 and 47145939805.

It is a congruent number.

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, 285722 + ... + 419438.

Almost surely, 247145939860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47145939860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53448956652).

47145939860 is an abundant number, since it is smaller than the sum of its proper divisors (59751973444).

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

47145939860 is a wasteful number, since it uses less digits than its factorization.

47145939860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133821 (or 133802 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 47145939860 in words is "forty-seven billion, one hundred forty-five million, nine hundred thirty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 289 305 340 578 610 1037 1156 1220 1445 2074 2890 4148 5185 5780 10370 17629 20740 35258 70516 88145 133717 176290 267434 352580 534868 668585 1337170 2273189 2674340 4546378 8156737 9092756 11365945 16313474 22731890 32626948 38644213 40783685 45463780 77288426 81567370 138664529 154576852 163134740 193221065 277329058 386442130 554658116 693322645 772884260 1386645290 2357296993 2773290580 4714593986 9429187972 11786484965 23572969930 47145939860