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47381284776 = 23372131132347
BaseRepresentation
bin101100001000001001…
…010000011110101000
311112022002020122200010
4230020021100132220
51234014102103101
633433333211520
73265103163330
oct541011203650
9145262218603
1047381284776
11191045555a1
129223a90ba0
1346113763a7
142416a1a0c0
151374a192d6
hexb082507a8

47381284776 has 64 divisors (see below), whose sum is σ = 135439649280. Its totient is φ = 13531055040.

The previous prime is 47381284747. The next prime is 47381284777. The reversal of 47381284776 is 67748218374.

It is a super-2 number, since 2×473812847762 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47381284777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291835 + ... + 424181.

It is an arithmetic number, because the mean of its divisors is an integer number (2116244520).

Almost surely, 247381284776 is an apocalyptic number.

It is an amenable number.

47381284776 is an abundant number, since it is smaller than the sum of its proper divisors (88058364504).

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

47381284776 is a wasteful number, since it uses less digits than its factorization.

47381284776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134494 (or 134490 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 57.

The spelling of 47381284776 in words is "forty-seven billion, three hundred eighty-one million, two hundred eighty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2131 4262 6393 8524 12786 14917 17048 25572 29834 44751 51144 59668 89502 119336 132347 179004 264694 358008 397041 529388 794082 926429 1058776 1588164 1852858 2779287 3176328 3705716 5558574 7411432 11117148 22234296 282031457 564062914 846094371 1128125828 1692188742 1974220199 2256251656 3384377484 3948440398 5922660597 6768754968 7896880796 11845321194 15793761592 23690642388 47381284776