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8479465056 = 2532263111949
BaseRepresentation
bin1111110010110101…
…00101111001100000
3210212221121110022100
413321122211321200
5114331220340211
63521224210400
7420062156316
oct77132457140
923787543270
108479465056
113661489667
121787909a00
13a5198845a
145a62360b6
15349659156
hex1f96a5e60

8479465056 has 72 divisors (see below), whose sum is σ = 24205381200. Its totient is φ = 2815716096.

The previous prime is 8479465051. The next prime is 8479465067. The reversal of 8479465056 is 6505649748.

8479465056 is a `hidden beast` number, since 8 + 47 + 94 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 8479464993 and 8479465011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8479465051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19770 + ... + 131718.

It is an arithmetic number, because the mean of its divisors is an integer number (336185850).

Almost surely, 28479465056 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 8479465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102690600).

8479465056 is an abundant number, since it is smaller than the sum of its proper divisors (15725916144).

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

8479465056 is a wasteful number, since it uses less digits than its factorization.

8479465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112228 (or 112217 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 8479465056 is about 92084.0108596492. The cubic root of 8479465056 is about 2039.1827637728.

The spelling of 8479465056 in words is "eight billion, four hundred seventy-nine million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 263 288 526 789 1052 1578 2104 2367 3156 4208 4734 6312 8416 9468 12624 18936 25248 37872 75744 111949 223898 335847 447796 671694 895592 1007541 1343388 1791184 2015082 2686776 3582368 4030164 5373552 8060328 10747104 16120656 29442587 32241312 58885174 88327761 117770348 176655522 235540696 264983283 353311044 471081392 529966566 706622088 942162784 1059933132 1413244176 2119866264 2826488352 4239732528 8479465056