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8725547680 = 2553110211723
BaseRepresentation
bin10000010000001010…
…10100101010100000
3211112002122202012121
420020011110222200
5120332220011210
64001454434024
7426140634343
oct101005245240
924462582177
108725547680
113778387133
121836202914
13a90958a85
145cabb245a
153610676da
hex208154aa0

8725547680 has 96 divisors (see below), whose sum is σ = 21312281088. Its totient is φ = 3372364800.

The previous prime is 8725547641. The next prime is 8725547689. The reversal of 8725547680 is 867455278.

It is a super-2 number, since 2×87255476802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8725547689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5063299 + ... + 5065021.

It is an arithmetic number, because the mean of its divisors is an integer number (222002928).

Almost surely, 28725547680 is an apocalyptic number.

8725547680 is a gapful number since it is divisible by the number (80) 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 8725547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10656140544).

8725547680 is an abundant number, since it is smaller than the sum of its proper divisors (12586733408).

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

8725547680 is a wasteful number, since it uses less digits than its factorization.

8725547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The square root of 8725547680 is about 93410.6400791687. The cubic root of 8725547680 is about 2058.7213354931.

The spelling of 8725547680 in words is "eight billion, seven hundred twenty-five million, five hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1021 1240 1723 2042 2480 3446 4084 4960 5105 6892 8168 8615 10210 13784 16336 17230 20420 27568 31651 32672 34460 40840 53413 55136 63302 68920 81680 106826 126604 137840 158255 163360 213652 253208 267065 275680 316510 427304 506416 534130 633020 854608 1012832 1068260 1266040 1709216 1759183 2136520 2532080 3518366 4273040 5064160 7036732 8546080 8795915 14073464 17591830 28146928 35183660 54534673 56293856 70367320 109069346 140734640 218138692 272673365 281469280 436277384 545346730 872554768 1090693460 1745109536 2181386920 4362773840 8725547680