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8672470560 = 2532513538741
BaseRepresentation
bin10000001001110101…
…10110011000100000
3211101101210011002100
420010322312120200
5120230123024220
63552321050400
7424624532505
oct100472663040
924341704070
108672470560
113750424546
121820486a00
13a82963bb0
145c3b174ac
1535b580d90
hex204eb6620

8672470560 has 288 divisors, whose sum is σ = 32476390128. Its totient is φ = 2094243840.

The previous prime is 8672470531. The next prime is 8672470571. The reversal of 8672470560 is 650742768.

8672470560 is a `hidden beast` number, since 8 + 67 + 24 + 7 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1722914064 + 6949556496 = 41508^2 + 83364^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×86724705602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 987790 + ... + 996530.

Almost surely, 28672470560 is an apocalyptic number.

8672470560 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 8672470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238195064).

8672470560 is an abundant number, since it is smaller than the sum of its proper divisors (23803919568).

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

8672470560 is a wasteful number, since it uses less digits than its factorization.

8672470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8672470560 is about 93126.1003156473. The cubic root of 8672470560 is about 2054.5384723751.

The spelling of 8672470560 in words is "eight billion, six hundred seventy-two million, four hundred seventy thousand, five hundred sixty".